feat: Filter browser profile list by name

[SuaYoo]

Depends on #3015
WIP for #3010

Changes

• Allows users to filter browser profile list by name
• Fixes layout inconsistencies with browser profiles list

Manual testing

Backend must point to latest in #3015

1. Log in
2. Go to "Browser Profiles"
3. Enter text into search box. Verify search results are shown
4. Choose search research. Verify profile list is filtered
5. Reload page. Verify search term persists

Screenshots

Page	Image/video
Browser Profiles

[SuaYoo]

FYI @emma-sg I tried combining the list filters into a single filterBy here, it seems to work well so may be a pattern we want to consider for the other list controls.

[emma-sg]

This looks like it's missing a way to clear the search, both within the search box & in the filter bar (setting a search value doesn't show the "clear all" button).

[SuaYoo]

This looks like it's missing a way to clear the search, both within the search box & in the filter bar (setting a search value doesn't show the "clear all" button).

I'm not able to replicate the X button not appearing in the search box, could you provide more details?

[emma-sg]

One more bug here with hasFiltersSet, but other than that looks good!

[emma-sg]

Nice!

[tw4l]

Nice work! Tested locally (rebased against main for backend changes) and everything is working as expected.