Problem with Web Watcher on Edge browser

- [x ] I am on the [latest](https://github.com/ActivityWatch/activitywatch/releases/latest) ActivityWatch version.
- [x ] I have searched the issues of this repo and believe that this is not a duplicate.

- **OS name and version**: Windows 11 24H2 + Microsoft Edge
- **ActivityWatch version**: 0.13.2
ActivityWatchWeb addon version: 0.5.3

## Describe the bug

Browser tab data is not getting filled unless I enable an option "allow in private" which I don't want to run daily :).
## To Reproduce

1. Install AW Web Watcher extension on Brave Browser
2. Confirm that it is enabled and connected
3. Go to AW Web UI
4. And you will see no data in Top Browser Domains, Top Browser URLs
5. Turn on allow in private option
6. URL's keep getting added.

## Expected behavior

URL's getting filled without private option.