Add toggle to filter out SOCKET rows in Network screen

[rishika0212]

Description:
This PR adds a toolbar toggle to the Network screen, allowing users to hide TCP socket rows associated with HTTP profiled requests. When enabled, only HTTP requests are shown, resulting in a cleaner and more focused view. This feature addresses user feedback and resolves #9460.

• Adds LAN icon toggle to Network screen toolbar
• Updates filtering logic in NetworkController
• Includes unit tests for toggle behavior
• Analytics event for toggle usage

Before:
All HTTP and socket rows were shown, making the table noisy.

After:
Users can toggle to hide socket rows, showing only HTTP requests.

Issue fixed:
Fixes #9460

Release notes:
Added a note to NEXT_RELEASE_NOTES.md.

Pre-launch Checklist

• I read the Contributor Guide and followed the process outlined there for submitting PRs.
• I read the Tree Hygiene wiki page, which explains my responsibilities.
• I read the Flutter Style Guide recently, and have followed its advice.
• I signed the CLA.
• I listed at least one issue that this PR fixes in the description above.
• I updated/added relevant documentation (doc comments with ///).
• I added new tests to check the change I am making, or there is a reason for not adding tests.

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[kenzieschmoll]

Hi @rishika0212, thank you for the contribution. We actually already have a convention within DevTools to add toggle filters like this. Please see #9460 (comment) for details, I added some code pointers on the issue detailing how to integrate with the existing toggle filter mechanism. If you can adjust this PR to follow the pattern described there, we'd be happy to review this change. Thanks!

[rishika0212]

Hi @rishika0212, thank you for the contribution. We actually already have a convention within DevTools to add toggle filters like this. Please see #9460 (comment) for details, I added some code pointers on the issue detailing how to integrate with the existing toggle filter mechanism. If you can adjust this PR to follow the pattern described there, we'd be happy to review this change. Thanks!

Thanks for the pointers!
I've reworked the implementation to follow the SettingFilters / ToggleFilter pattern used in LoggingController. Removed the standalone ValueNotifier and custom toolbar button, the toggle now shows up in the existing filter dropdown just like the logging filters do.