[BUGFIX] Use proper bootstrap styles for "Make Query" in DB check

This refactores the "Make Query" block in the DB check module
to use proper bootstrap styles. This makes the whole block
more readable and also aligns with other backend components.

Resolves: #94896
Releases: master
Change-Id: Ic858ecc5cb494f6b653ba9e0651ca8ea302b4c98
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/70605


Tested-by: Oliver Bartsch <bo@cedev.de>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Benni Mack <benni@typo3.org>
Reviewed-by: Oliver Bartsch <bo@cedev.de>
Reviewed-by: Benni Mack <benni@typo3.org>