[BUGFIX] Standardize search field and its search icon location

Place the search icon on the right side of the input field.

Resolves: #103404
Releases: main
Change-Id: I7a0ed1ab77273ad300b406b8c356b8e7f7851474
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/83571


Reviewed-by: Benni Mack <benni@typo3.org>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Benni Mack <benni@typo3.org>
Tested-by: Lisa Kreitz <lisamariakreitz@web.de>
Reviewed-by: Lisa Kreitz <lisamariakreitz@web.de>