Remove DrawerStatusTracker JS file and it's usage

### What is this about?

Remove DrawerStatusTracker file and it's usage at BrowserTab component.
```
app/core/DrawerStatusTracker.js (can be deleted)
```

### Scenario

_No response_

### Design

_No response_

### Technical Details

_No response_

### Threat Modeling Framework

_No response_

### Acceptance Criteria

_No response_

### Stakeholder review needed before the work gets merged

- [ ] Engineering (needed in most cases)
- [ ] Design
- [ ] Product
- [ ] QA (automation tests are required to pass before merging PRs but not all changes are covered by automation tests - please review if QA is needed beyond automation tests)
- [ ] Security
- [ ] Legal
- [ ] Marketing
- [ ] Management (please specify)
- [ ] Other (please specify)

### References

_No response_

Start by inspecting the BrowserTab component and searching for references to app/core/DrawerStatusTracker.js. Remove the file and its BrowserTab usage, then verify that no references remain and the relevant project checks still pass.

Written by the indexing model from the issue text.