diff --git a/docs/_static/searchtools.js b/docs/_static/searchtools.js
index 2b058e13be..805d6f5120 100644
--- a/docs/_static/searchtools.js
+++ b/docs/_static/searchtools.js
@@ -49,10 +49,18 @@ if (typeof Scorer === "undefined") {
 
 // Global search result kind enum, used by themes to style search results.
 class SearchResultContext {
-    static get index() { return  "index"; }
-    static get object() { return "object"; }
-    static get text() { return "text"; }
-    static get title() { return "title"; }
+  static get index() {
+    return "index";
+  }
+  static get object() {
+    return "object";
+  }
+  static get text() {
+    return "text";
+  }
+  static get title() {
+    return "title";
+  }
 }
 
 const _removeChildren = (element) => {
@@ -62,8 +70,7 @@ const _removeChildren = (element) => {
 /**
  * See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping
  */
-const _escapeRegExp = (string) =>
-  string.replace(/[.*+\-?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string
+const _escapeRegExp = (string) => string.replace(/[.*+\-?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string
 
 const _displayItem = (item, searchTerms, highlightTerms) => {
   const docBuilder = DOCUMENTATION_OPTIONS.BUILDER;
@@ -84,8 +91,7 @@ const _displayItem = (item, searchTerms, highlightTerms) => {
   if (docBuilder === "dirhtml") {
     // dirhtml builder
     let dirname = docName + "/";
-    if (dirname.match(/\/index\/$/))
-      dirname = dirname.substring(0, dirname.length - 6);
+    if (dirname.match(/\/index\/$/)) dirname = dirname.substring(0, dirname.length - 6);
     else if (dirname === "index/") dirname = "";
     requestUrl = contentRoot + dirname;
     linkUrl = requestUrl;
@@ -99,23 +105,23 @@ const _displayItem = (item, searchTerms, highlightTerms) => {
   linkEl.dataset.score = score;
   linkEl.innerHTML = title;
   if (descr) {
-    listItem.appendChild(document.createElement("span")).innerHTML =
-      " (" + descr + ")";
+    listItem.appendChild(document.createElement("span")).innerHTML = " (" + descr + ")";
     // highlight search terms in the description
-    if (SPHINX_HIGHLIGHT_ENABLED)  // set in sphinx_highlight.js
+    if (SPHINX_HIGHLIGHT_ENABLED)
+      // set in sphinx_highlight.js
       highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted"));
-  }
-  else if (showSearchSummary)
+  } else if (showSearchSummary)
     fetch(requestUrl)
       .then((responseData) => responseData.text())
       .then((data) => {
         if (data)
-          listItem.appendChild(
-            Search.makeSearchSummary(data, searchTerms, anchor)
-          );
+          listItem.appendChild(Search.makeSearchSummary(data, searchTerms, anchor));
         // highlight search terms in the summary
-        if (SPHINX_HIGHLIGHT_ENABLED)  // set in sphinx_highlight.js
-          highlightTerms.forEach((term) => _highlightText(listItem, term, "highlighted"));
+        if (SPHINX_HIGHLIGHT_ENABLED)
+          // set in sphinx_highlight.js
+          highlightTerms.forEach((term) =>
+            _highlightText(listItem, term, "highlighted"),
+          );
       });
   Search.output.appendChild(listItem);
 };
@@ -124,28 +130,23 @@ const _finishSearch = (resultCount) => {
   Search.title.innerText = _("Search Results");
   if (!resultCount)
     Search.status.innerText = Documentation.gettext(
-      "Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories."
+      "Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories.",
     );
   else
     Search.status.innerText = Documentation.ngettext(
       "Search finished, found one page matching the search query.",
       "Search finished, found ${resultCount} pages matching the search query.",
       resultCount,
-    ).replace('${resultCount}', resultCount);
+    ).replace("${resultCount}", resultCount);
 };
-const _displayNextItem = (
-  results,
-  resultCount,
-  searchTerms,
-  highlightTerms,
-) => {
+const _displayNextItem = (results, resultCount, searchTerms, highlightTerms) => {
   // results left, load the summary and display it
   // this is intended to be dynamic (don't sub resultsCount)
   if (results.length) {
     _displayItem(results.pop(), searchTerms, highlightTerms);
     setTimeout(
       () => _displayNextItem(results, resultCount, searchTerms, highlightTerms),
-      5
+      5,
     );
   }
   // search finished, update title and status message
@@ -177,9 +178,10 @@ const _orderResultsByScoreThenName = (a, b) => {
  * This is the same as ``\W+`` in Python, preserving the surrogate pair area.
  */
 if (typeof splitQuery === "undefined") {
-  var splitQuery = (query) => query
+  var splitQuery = (query) =>
+    query
       .split(/[^\p{Letter}\p{Number}_\p{Emoji_Presentation}]+/gu)
-      .filter(term => term)  // remove remaining empty strings
+      .filter((term) => term); // remove remaining empty strings
 }
 
 /**
@@ -191,16 +193,18 @@ const Search = {
   _pulse_status: -1,
 
   htmlToText: (htmlString, anchor) => {
-    const htmlElement = new DOMParser().parseFromString(htmlString, 'text/html');
+    const htmlElement = new DOMParser().parseFromString(htmlString, "text/html");
     for (const removalQuery of [".headerlink", "script", "style"]) {
-      htmlElement.querySelectorAll(removalQuery).forEach((el) => { el.remove() });
+      htmlElement.querySelectorAll(removalQuery).forEach((el) => {
+        el.remove();
+      });
     }
     if (anchor) {
       const anchorContent = htmlElement.querySelector(`[role="main"] ${anchor}`);
       if (anchorContent) return anchorContent.textContent;
 
       console.warn(
-        `Anchored content block not found. Sphinx search tries to obtain it via DOM query '[role=main] ${anchor}'. Check your theme or template.`
+        `Anchored content block not found. Sphinx search tries to obtain it via DOM query '[role=main] ${anchor}'. Check your theme or template.`,
       );
     }
 
@@ -209,16 +213,14 @@ const Search = {
     if (docContent) return docContent.textContent;
 
     console.warn(
-      "Content block not found. Sphinx search tries to obtain it via DOM query '[role=main]'. Check your theme or template."
+      "Content block not found. Sphinx search tries to obtain it via DOM query '[role=main]'. Check your theme or template.",
     );
     return "";
   },
 
   init: () => {
     const query = new URLSearchParams(window.location.search).get("q");
-    document
-      .querySelectorAll('input[name="q"]')
-      .forEach((el) => (el.value = query));
+    document.querySelectorAll('input[name="q"]').forEach((el) => (el.value = query));
     if (query) Search.performSearch(query);
   },
 
@@ -295,11 +297,7 @@ const Search = {
 
       // maybe skip this "word"
       // stopwords array is from language_data.js
-      if (
-        stopwords.indexOf(queryTermLower) !== -1 ||
-        queryTerm.match(/^\d+$/)
-      )
-        return;
+      if (stopwords.indexOf(queryTermLower) !== -1 || queryTerm.match(/^\d+$/)) return;
 
       // stem the word
       let word = stemmer.stemWord(queryTermLower);
@@ -311,8 +309,9 @@ const Search = {
       }
     });
 
-    if (SPHINX_HIGHLIGHT_ENABLED) {  // set in sphinx_highlight.js
-      localStorage.setItem("sphinx_highlight_terms", [...highlightTerms].join(" "))
+    if (SPHINX_HIGHLIGHT_ENABLED) {
+      // set in sphinx_highlight.js
+      localStorage.setItem("sphinx_highlight_terms", [...highlightTerms].join(" "));
     }
 
     // console.debug("SEARCH: searching for:");
@@ -341,10 +340,13 @@ const Search = {
 
     const queryLower = query.toLowerCase().trim();
     for (const [title, foundTitles] of Object.entries(allTitles)) {
-      if (title.toLowerCase().trim().includes(queryLower) && (queryLower.length >= title.length/2)) {
+      if (
+        title.toLowerCase().trim().includes(queryLower) &&
+        queryLower.length >= title.length / 2
+      ) {
         for (const [file, id] of foundTitles) {
-          const score = Math.round(Scorer.title * queryLower.length / title.length);
-          const boost = titles[file] === title ? 1 : 0;  // add a boost for document titles
+          const score = Math.round((Scorer.title * queryLower.length) / title.length);
+          const boost = titles[file] === title ? 1 : 0; // add a boost for document titles
           normalResults.push([
             docNames[file],
             titles[file] !== title ? `${titles[file]} > ${title}` : title,
@@ -360,9 +362,9 @@ const Search = {
 
     // search for explicit entries in index directives
     for (const [entry, foundEntries] of Object.entries(indexEntries)) {
-      if (entry.includes(queryLower) && (queryLower.length >= entry.length/2)) {
+      if (entry.includes(queryLower) && queryLower.length >= entry.length / 2) {
         for (const [file, id, isMain] of foundEntries) {
-          const score = Math.round(100 * queryLower.length / entry.length);
+          const score = Math.round((100 * queryLower.length) / entry.length);
           const result = [
             docNames[file],
             titles[file],
@@ -383,7 +385,7 @@ const Search = {
 
     // lookup as object
     objectTerms.forEach((term) =>
-      normalResults.push(...Search.performObjectSearch(term, objectTerms))
+      normalResults.push(...Search.performObjectSearch(term, objectTerms)),
     );
 
     // lookup as search terms in fulltext
@@ -408,7 +410,11 @@ const Search = {
     // note the reversing of results, so that in the case of duplicates, the highest-scoring entry is kept
     let seen = new Set();
     results = results.reverse().reduce((acc, result) => {
-      let resultStr = result.slice(0, 4).concat([result[5]]).map(v => String(v)).join(',');
+      let resultStr = result
+        .slice(0, 4)
+        .concat([result[5]])
+        .map((v) => String(v))
+        .join(",");
       if (!seen.has(resultStr)) {
         acc.push(result);
         seen.add(resultStr);
@@ -420,8 +426,15 @@ const Search = {
   },
 
   query: (query) => {
-    const [searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms] = Search._parseQuery(query);
-    const results = Search._performSearch(searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms);
+    const [searchQuery, searchTerms, excludedTerms, highlightTerms, objectTerms] =
+      Search._parseQuery(query);
+    const results = Search._performSearch(
+      searchQuery,
+      searchTerms,
+      excludedTerms,
+      highlightTerms,
+      objectTerms,
+    );
 
     // for debugging
     //Search.lastresults = results.slice();  // a copy
@@ -444,7 +457,7 @@ const Search = {
     const results = [];
 
     const objectSearchCallback = (prefix, match) => {
-      const name = match[4]
+      const name = match[4];
       const fullname = (prefix ? prefix + "." : "") + name;
       const fullnameLower = fullname.toLowerCase();
       if (fullnameLower.indexOf(object) < 0) return;
@@ -456,8 +469,7 @@ const Search = {
       // "last name" (i.e. last dotted part)
       if (fullnameLower === object || parts.slice(-1)[0] === object)
         score += Scorer.objNameMatch;
-      else if (parts.slice(-1)[0].indexOf(object) > -1)
-        score += Scorer.objPartialMatch; // matches in last name
+      else if (parts.slice(-1)[0].indexOf(object) > -1) score += Scorer.objPartialMatch; // matches in last name
 
       const objName = objNames[match[1]][2];
       const title = titles[match[0]];
@@ -468,9 +480,7 @@ const Search = {
       otherTerms.delete(object);
       if (otherTerms.size > 0) {
         const haystack = `${prefix} ${name} ${objName} ${title}`.toLowerCase();
-        if (
-          [...otherTerms].some((otherTerm) => haystack.indexOf(otherTerm) < 0)
-        )
+        if ([...otherTerms].some((otherTerm) => haystack.indexOf(otherTerm) < 0))
           return;
       }
 
@@ -481,8 +491,7 @@ const Search = {
       const descr = objName + _(", in ") + title;
 
       // add custom score for some objects according to scorer
-      if (Scorer.objPrio.hasOwnProperty(match[2]))
-        score += Scorer.objPrio[match[2]];
+      if (Scorer.objPrio.hasOwnProperty(match[2])) score += Scorer.objPrio[match[2]];
       else score += Scorer.objPrioDefault;
 
       results.push([
@@ -496,9 +505,7 @@ const Search = {
       ]);
     };
     Object.keys(objects).forEach((prefix) =>
-      objects[prefix].forEach((array) =>
-        objectSearchCallback(prefix, array)
-      )
+      objects[prefix].forEach((array) => objectSearchCallback(prefix, array)),
     );
     return results;
   },
@@ -573,12 +580,9 @@ const Search = {
 
       // as search terms with length < 3 are discarded
       const filteredTermCount = [...searchTerms].filter(
-        (term) => term.length > 2
+        (term) => term.length > 2,
       ).length;
-      if (
-        wordList.length !== searchTerms.size &&
-        wordList.length !== filteredTermCount
-      )
+      if (wordList.length !== searchTerms.size && wordList.length !== filteredTermCount)
         continue;
 
       // ensure that none of the excluded terms is in the search result
@@ -588,7 +592,7 @@ const Search = {
             terms[term] === file ||
             titleTerms[term] === file ||
             (terms[term] || []).includes(file) ||
-            (titleTerms[term] || []).includes(file)
+            (titleTerms[term] || []).includes(file),
         )
       )
         break;
diff --git a/requirements/docs.txt b/requirements/docs.txt
index 4a5933b1dc..82431eb83e 100644
--- a/requirements/docs.txt
+++ b/requirements/docs.txt
@@ -7,4 +7,4 @@ sphinx-copybutton==0.5.2
 furo==2024.8.6
 sphinx-autodoc-typehints==2.2.3
 sphinx-intl==2.2.0
-typing_extensions==4.12.2
\ No newline at end of file
+typing_extensions==4.12.2