[TASK] Remove jQuery in AjaxDataHandler

This patch removes jQuery from the module
`@typo3/backend/ajax-data-handler`. Animations have been, if useful,
migrated to CSS animations and transitions.

Resolves: #101569
Releases: main
Change-Id: I190029b1121736cfef2a92f5c756cac36270f9c7
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/80330


Reviewed-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Reviewed-by: Andreas Fernandez <a.fernandez@scripting-base.de>
Tested-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Tested-by: Christian Kuhn <lolli@schwarzbu.ch>
Reviewed-by: Christian Kuhn <lolli@schwarzbu.ch>
Tested-by: Andreas Fernandez <a.fernandez@scripting-base.de>
Tested-by: core-ci <typo3@b13.com>