Add Suggest WebUI to AIM M3 Side Panel

Demo: https://screencast.googleplex.com/cast/NjMxNzg0NjkzNzIwNjc4NHxkOTNjYmVlNi1jOQ

DOES:
- Suggestions panel pops up above the composebox when ZPS suggestions available + composebox is focused in
- Covers the results page or the AIM chatbox when active.
- Suggestions should NOT show up when ghost loader is active.
- Dropdown disappears when ZPS is not available
- Uses same autocomplete backend as the Chrome Composebox
- Gated behind kLensOverlayComposeboxShowSuggestionsDropdown

DOES NOT YET:
- Take in page context + give page-relevant suggestions.

Bug: 444463452
Change-Id: I08d086f43b266096aa141c2278690695d248b057
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6933101
Reviewed-by: Duncan Mercer <mercerd@google.com>
Commit-Queue: Diana OuYang <dianaou@google.com>
Reviewed-by: Nihar Majmudar <niharm@google.com>
Cr-Commit-Position: refs/heads/main@{#1520620}