[TASK] Migrate new record controller to Fluid-based rendering

This change cleans up the NewRecordController which hasn't been
touched since ages. It cleans up the render-related functionality
into a Fluid Template.

Within Fluid, Bootstrap 5 styling is now applied properly.

Resolves: #95332
Releases: master
Change-Id: Ic6a2e8967cfe8ee7ee0876300244e8bce9ca5c57
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/71216
Tested-by: Oliver Bartsch <bo@cedev.de>
Tested-by: core-ci <typo3@b13.com>
Tested-by: Anja Leichsenring <aleichsenring@ab-softlab.de>
Reviewed-by: Oliver Bartsch <bo@cedev.de>
Reviewed-by: Anja Leichsenring <aleichsenring@ab-softlab.de>