feat: Add MetaMetrics event for "Use different login method" click during social login rehydration (#21903)

## **Description**

This PR adds MetaMetrics tracking for when users click the "Use a
different login method" button during social login rehydration flow

**What is the reason for the change?**
We need to track when users decide to switch login methods during the
rehydration phase

**What is the improvement/solution?**
Added a new MetaMetrics event `UseDifferentLoginMethodClicked` that
fires when:
- User is in social login flow
- Onboarding is not completed (rehydration phase)
- User clicks "Use a different login method" on the welcome back screen

## **Changelog**

CHANGELOG entry: null

## **Related issues**

Fixes: https://consensyssoftware.atlassian.net/browse/SL-241

## **Manual testing steps**

1. Start a social login import flow (Google or Apple)
2. Complete authentication with the provider
3. Navigate to the unlock/rehydration screen
4. Click "Use a different login method" button
5. Verify the `USE_DIFFERENT_LOGIN_METHOD_CLICKED` event is tracked with
`account_type: 'social'`

## **Screenshots/Recordings**

### **Before**
No MetaMetrics event tracked when clicking "Use a different login
method" during rehydration

### **After**
`USE_DIFFERENT_LOGIN_METHOD_CLICKED` event tracked with proper
account_type property

## **Pre-merge author checklist**

- [x] I've followed [MetaMask Contributor
Docs](https://github.com/MetaMask/contributor-docs) and [MetaMask Mobile
Coding
Standards](https://github.com/MetaMask/metamask-mobile/blob/main/.github/guidelines/CODING_GUIDELINES.md).
- [x] I've completed the PR template to the best of my ability
- [x] I've included tests if applicable
- [x] I've documented my code using [JSDoc](https://jsdoc.app/) format
if applicable
- [x] I've applied the right labels on the PR (see [labeling
guidelines](https://github.com/MetaMask/metamask-mobile/blob/main/.github/guidelines/LABELING_GUIDELINES.md)).
Not required for external contributors.

## **Pre-merge reviewer checklist**

- [x] I've manually tested the PR (e.g. pull and build branch, run the
app, test code being changed).
- [x] I confirm that this PR addresses all acceptance criteria described
in the ticket it closes and includes the necessary testing evidence such
as recordings and or screenshots.


<!-- CURSOR_SUMMARY -->
---

> [!NOTE]
> Adds a new MetaMetrics event and triggers it when users in OAuth
rehydration click "Use a different login method".
> 
> - **Analytics**
> - Add `USE_DIFFERENT_LOGIN_METHOD_CLICKED` to `EVENT_NAME` and expose
via `MetaMetricsEvents` in `app/core/Analytics/MetaMetrics.events.ts`.
> - **Login**
> - In `app/components/Views/Login/index.tsx`, fire
`MetaMetricsEvents.USE_DIFFERENT_LOGIN_METHOD_CLICKED` with `{
account_type: 'social' }` when `handleUseOtherMethod` is used during
OAuth onboarding rehydration.
> 
> <sup>Written by [Cursor
Bugbot](https://cursor.com/dashboard?tab=bugbot) for commit
9951208. This will update automatically
on new commits. Configure
[here](https://cursor.com/dashboard?tab=bugbot).</sup>
<!-- /CURSOR_SUMMARY -->

Author: huggingbot

app/components/Views/Login/index.tsx

@@ -364,6 +364,11 @@ const Login: React.FC<LoginProps> = ({ saveOnboardingEvent }) => {
   };
 
   const handleUseOtherMethod = () => {
+    if (isComingFromOauthOnboarding) {
+      track(MetaMetricsEvents.USE_DIFFERENT_LOGIN_METHOD_CLICKED, {
+        account_type: 'social',
+      });
+    }
     navigation.goBack();
     OAuthService.resetOauthState();
   };

app/core/Analytics/MetaMetrics.events.ts

@@ -145,6 +145,7 @@ enum EVENT_NAME {
   REHYDRATION_PASSWORD_FAILED = 'Rehydration Password Failed',
   PASSWORD_CHANGED = 'Password Changed',
   FORGOT_PASSWORD_CLICKED = 'Forgot Password Clicked',
+  USE_DIFFERENT_LOGIN_METHOD_CLICKED = 'Use Different Login Method Clicked',
   RESET_WALLET = 'Reset Wallet',
 
   // Account
@@ -767,6 +768,9 @@ const events = {
   ),
   PASSWORD_CHANGED: generateOpt(EVENT_NAME.PASSWORD_CHANGED),
   FORGOT_PASSWORD_CLICKED: generateOpt(EVENT_NAME.FORGOT_PASSWORD_CLICKED),
+  USE_DIFFERENT_LOGIN_METHOD_CLICKED: generateOpt(
+    EVENT_NAME.USE_DIFFERENT_LOGIN_METHOD_CLICKED,
+  ),
   RESET_WALLET: generateOpt(EVENT_NAME.RESET_WALLET),
   SWITCHED_ACCOUNT: generateOpt(EVENT_NAME.SWITCHED_ACCOUNT),
   BROWSER_OPENED: generateOpt(EVENT_NAME.BROWSER_OPENED),