[BUGFIX] Remove style attribute in LiveSearch

[BUGFIX] Remove style attribute in LiveSearch

Currently, `beforeRender` removes some inline CSS so adjust the layout
of the suggest list. If the first search has no result, the layout is
broken because `beforeRender` is not called in case there are no results.

This patch removes the style attribute as early as possible.

Resolves: #82757
Releases: master, 8.7
Change-Id: I844b81aca43bd469dfdbb46516366f4786d0935f
Reviewed-on: https://review.typo3.org/54439
Reviewed-by: Mathias Schreiber <mathias.schreiber@typo3.com>
Tested-by: Mathias Schreiber <mathias.schreiber@typo3.com>
Tested-by: TYPO3com <no-reply@typo3.com>
Reviewed-by: Wouter Wolters <typo3@wouterwolters.nl>
Tested-by: Wouter Wolters <typo3@wouterwolters.nl>