[TASK] Migrate from jQuery in `@typo3/backend/layout-module/paste`

This patch removes jQuery from the `@typo3/backend/layout-module/paste`
module in favor of native APIs.

Resolves: #101617
Releases: main
Change-Id: I201eaf575a328bc805dc0fb90a364a918686900a
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/80460


Reviewed-by: Andreas Nedbal <andy@pixelde.su>
Tested-by: Nikita Hovratov <nikita.h@live.de>
Tested-by: Andreas Fernandez <a.fernandez@scripting-base.de>
Tested-by: Andreas Nedbal <andy@pixelde.su>
Reviewed-by: Nikita Hovratov <nikita.h@live.de>
Tested-by: core-ci <typo3@b13.com>
Reviewed-by: Andreas Fernandez <a.fernandez@scripting-base.de>