fix(vite): typecheck infer plugin should use correct inputs (nrwl#27922)

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## Current Behavior
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Vite typecheck target is not falling back to default if production does
not exist.
It also does not have an input on typescript itself

## Expected Behavior
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-->
Inputs should be configured correctly

## Related Issue(s)
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merged. -->

Fixes #

packages/vite/src/plugins/__snapshots__/plugin-vitest.spec.ts.snap

@@ -53,6 +53,11 @@ exports[`@nx/vite/plugin root project should create nodes 1`] = `
               "inputs": [
                 "production",
                 "^production",
+                {
+                  "externalDependencies": [
+                    "typescript",
+                  ],
+                },
               ],
               "metadata": {
                 "description": "Run Typechecking",

packages/vite/src/plugins/__snapshots__/plugin-with-test.spec.ts.snap

@@ -53,6 +53,11 @@ exports[`@nx/vite/plugin with test node root project should create nodes - with
               "inputs": [
                 "production",
                 "^production",
+                {
+                  "externalDependencies": [
+                    "typescript",
+                  ],
+                },
               ],
               "metadata": {
                 "description": "Run Typechecking",

packages/vite/src/plugins/plugin.ts

@@ -212,7 +212,12 @@ async function buildViteTargets(
       ) ?? tsConfigFiles[0];
     targets[options.typecheckTargetName] = {
       cache: true,
-      inputs: ['production', '^production'],
+      inputs: [
+        ...('production' in namedInputs
+          ? ['production', '^production']
+          : ['default', '^default']),
+        { externalDependencies: ['typescript'] },
+      ],
       command: `tsc --noEmit -p ${tsConfigToUse}`,
       options: { cwd: joinPathFragments(projectRoot) },
       metadata: {