feat: migrate AppStateController to inherit from BaseController V2 (#…

…28784)

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## **Description**

This PR migrate `AppStateController` to inherit from BaseController V2

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also include relevant motivation and context. Have in mind the following
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## **Related issues**

Fixes: #25916

## **Manual testing steps**


## **Screenshots/Recordings**

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## **Pre-merge author checklist**

- [x] I've followed [MetaMask Contributor
Docs](https://github.com/MetaMask/contributor-docs) and [MetaMask
Extension Coding
Standards](https://github.com/MetaMask/metamask-extension/blob/develop/.github/guidelines/CODING_GUIDELINES.md).
- [x] I've completed the PR template to the best of my ability
- [ ] I’ve included tests if applicable
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if applicable
- [x] I’ve applied the right labels on the PR (see [labeling
guidelines](https://github.com/MetaMask/metamask-extension/blob/develop/.github/guidelines/LABELING_GUIDELINES.md)).
Not required for external contributors.

## **Pre-merge reviewer checklist**

- [ ] I've manually tested the PR (e.g. pull and build branch, run the
app, test code being changed).
- [ ] 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.

app/scripts/background.js

@@ -1025,8 +1025,8 @@ export function setupController(
     METAMASK_CONTROLLER_EVENTS.UPDATE_BADGE,
     updateBadge,
   );
-  controller.appStateController.on(
-    METAMASK_CONTROLLER_EVENTS.UPDATE_BADGE,
+  controller.controllerMessenger.subscribe(
+    METAMASK_CONTROLLER_EVENTS.APP_STATE_UNLOCK_CHANGE,
     updateBadge,
   );