Try booting into Safe Mode which will prevent third party software from automatically launching during boot & login, although from what I've recently learned this may no longer be as effective due to recent changes with macOS Ventura changing how third party apps are launched now.
Seems like you may need to perform a clean install of macOS on the new 2023 laptop in order to start over. There are two ways to do this on Apple Silicon. You can boot into Recovery Mode and erase the drive (only the Macintosh HD & Macintosh HD - Data volumes), or you can "Restore" the firmware which pushes a clean OS onto the internal SSD, but this latter option requires access to another Mac running macOS 10.15+ and a USB-C charging cable (not a USB-C Thunderbolt cable).
Recovery Mode instructions (you will need to follow the "erase disk" link within this article as well):
How to reinstall macOS - Apple Support
"Restore" firmware option:
Revive or restore a Mac with Apple silicon using Apple Configurator - Apple Support
After the clean install or firmware restore, you can try migrating/restoring just the macOS user accounts, omit the Applications as they are likely the cause of the problems. Manually download & install the most recent versions of your third party apps making sure they are compatible with both Apple Silicon and macOS 13.x Ventura.
Edit: Forgot to include a link for Safe Mode:
How to use safe mode on your Mac - Apple Support