Refactor search bar menu width to use Popover sameWidth

[tom2drum]

Description and Related Issue(s)

Refactors search bar dropdown positioning to use Chakra Popover's built-in sameWidth positioning instead of manually tracking input width with a ResizeObserver.

Proposed Changes

• Remove manual ResizeObserver + debounced width calculation from SearchBarDesktop and SearchResultsInput
• Use Popover positioning.sameWidth: true so the suggest/recent-keywords menu matches the trigger width
• Simplify PopoverContent width styling (w="auto", maxW="100%") and drop the menuWidth ref
• Restore input focus when selecting a recent keyword in the desktop search bar (handleRecentKeywordsClick)

Breaking or Incompatible Changes

None.

Additional Information

Net reduction of ~40 lines of layout-sync logic. Behavior should be unchanged aside from the recent-keywords focus fix on desktop.

Checklist for PR author

• I have tested these changes locally.
• I added tests to cover any new functionality, following this guide
• Whenever I fix a bug, I include a regression test to ensure that the bug does not reappear silently.
• If I have added a feature or functionality that is not privacy-compliant (e.g., tracking, analytics, third-party services), I have disabled it for private mode.
• If I have added, changed, renamed, or removed an environment variable
  • I updated the list of environment variables in the documentation
  • I made the necessary changes to the validator script according to the guide
  • I added "ENVs" label to this pull request

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