chore: [IOPID-2538] Fix LOGIN_CIEID_SELECTED event delay (#6483)

## Short description
This PR removes the delay in sending some login method selection events.
>[!Note]
>This fix resolves the current behavior where the `LOGIN_CIEID_SELECTED`
event is sent after `LOGIN_CIEID_APP_NOT_FOUND`, even though the latter
occurs later in the flow

## List of changes proposed in this pull request
- Moved the `updateMixpanelProfileProperties` async action after
`mixpanelTrack` to ensure the event order accurately reflects the
intended flow

## Demo
### Before

https://github.com/user-attachments/assets/a2cf58de-0fdb-45a7-a7cc-347a5f9929fc

### After

https://github.com/user-attachments/assets/a6449720-d40d-451c-9936-4dd754f53091

## How to test
Run the app and emulate what shown in the demo videos to ensure that the
event dispatch order is respected.

---------

Co-authored-by: Alice Di Rico <[email protected]>

ts/features/cie/analytics/index.ts

@@ -41,26 +41,26 @@ export const trackWizardCieIdSelected = async (
   state: GlobalState,
   spidLevel: SpidLevel
 ) => {
-  await updateMixpanelProfileProperties(state, {
-    property: "LOGIN_METHOD",
-    value: IdpCIE_ID.id
-  });
   void mixpanelTrack(
     "LOGIN_CIE_WIZARD_CIEID_SELECTED",
     buildEventProperties("UX", "action", {
       security_level: SECURITY_LEVEL_MAP[spidLevel]
     })
   );
-};
-export const trackWizardCiePinSelected = async (state: GlobalState) => {
   await updateMixpanelProfileProperties(state, {
     property: "LOGIN_METHOD",
-    value: IdpCIE.id
+    value: IdpCIE_ID.id
   });
+};
+export const trackWizardCiePinSelected = async (state: GlobalState) => {
   void mixpanelTrack(
     "LOGIN_CIE_WIZARD_PIN_SELECTED",
     buildEventProperties("UX", "action")
   );
+  await updateMixpanelProfileProperties(state, {
+    property: "LOGIN_METHOD",
+    value: IdpCIE.id
+  });
 };
 export const trackWizardCiePinInfoSelected = async () => {
   void mixpanelTrack(

ts/screens/authentication/analytics/index.ts

@@ -23,26 +23,26 @@ export async function trackCieLoginSelected() {
   mixpanelTrack("LOGIN_CIE_SELECTED", buildEventProperties("UX", "action"));
 }
 export async function trackCiePinLoginSelected(state: GlobalState) {
+  mixpanelTrack("LOGIN_CIE_PIN_SELECTED", buildEventProperties("UX", "action"));
   await updateMixpanelProfileProperties(state, {
     property: "LOGIN_METHOD",
     value: IdpCIE.id
   });
-  mixpanelTrack("LOGIN_CIE_PIN_SELECTED", buildEventProperties("UX", "action"));
 }
 export async function trackCieIDLoginSelected(
   state: GlobalState,
   spidLevel: SpidLevel
 ) {
-  await updateMixpanelProfileProperties(state, {
-    property: "LOGIN_METHOD",
-    value: IdpCIE_ID.id
-  });
   mixpanelTrack(
     "LOGIN_CIEID_SELECTED",
     buildEventProperties("UX", "action", {
       security_level: SECURITY_LEVEL_MAP[spidLevel]
     })
   );
+  await updateMixpanelProfileProperties(state, {
+    property: "LOGIN_METHOD",
+    value: IdpCIE_ID.id
+  });
 }
 export async function trackCieBottomSheetScreenView() {
   mixpanelTrack(