Search query cut-off, auto-focus not on input after search executes of the partial input & can't tab into the input to complete the query.

[SivaramPg]

1. Search input cuts-off and doesn't register in the input field after a few characters.
   Tried searching pwa-icons, got search initiated at pwa- and the rest wasn't registered.

2. auto-focuses out of the input box, target lands on the dropdown on pressing Tab.

3. Trying to select all after the cut-off input to actually complete the query input causes selection of the entire page instead.

Repro Video with keystrokes

CleanShot.2026-01-30.at.21.34.53.mp4

[vanyauhalin]

Dup #397