WebUI cr-toolbar-search-field: Remove padding-inline-end override

http://screen/REENWmfeheJaLKL

Fixed: 338465410
Change-Id: I1e29588fe36a28430ee2a1bc9f5986b17aadaaaf
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5538600


Reviewed-by: Rebekah Potter <rbpotter@chromium.org>
Commit-Queue: John Lee <johntlee@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1300906}