right click menu broken links data

If the new computer is going to be the Apple Silicon M1 Equipped Computer - would suggest Only Migrating the User Account and nothing more.

1 - Apple Silicon with either Big Sur macOS 11 or Monterey macOS 12 Only Support everything 64 bit and there is no workaround.

2 - Issues that may exist on the older computer will be migrated to the New Computer. This would badly pollute the new Original and Pristine installation of the new OS.

3 -  Applications, extensions and Software Drivers may or may not even work on the new computer.

4 - IMHO - it would be best to only install new application etc Directly from the Developer or the Apple Apps Store.

5 - Due Diligence on New Applications and make sure they are Monterey / Big Sur compatible and factor in the ARMs CPU of the Apple Silicon Computer  

6 - doing a Reinstall will only correct the version of macOS installed recently. That being reinstalling the latest version of Monterey 12.3.1

7 - It will not Remove the Pollution created by the Migration

8 - To Start Over like New Setup - refer to below picture. This Applies Only to M1 Computer and Monterey

I think you need to rebuild the Launch DB... assuming there aren't hidden traces of the APP habging in there...

Safe Boot, (holding Shift key down at startup), does the problem occur in Safe Mode? Could take 10 minutes.

Safe mode attempts to repair Disks & clears lots of caches & loads safe Drivers, & prevents loading of 3rd party extensions, so if Safe Mode works try again in regular boot.

Open Terminal and run each of these one at a time

/System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/LaunchServices.framework/Versions/A/Support/lsregister -kill -r -domain local -domain system -domain user

sudo /System/Library/Frameworks/CoreServices.framework/Frameworks/LaunchServices.framework/Support/lsregister -kill -seed -lint -r -f -v -dump -domain local -domain system -domain user -domain network

killall Dock

Hmmm, I think you need to reinstall the OS, that should not bother any personal data.

1. Start up from macOS Recovery

To start up from macOS Recovery, turn on your Mac and immediately press and hold ...

Command (⌘)-R

Installs the latest macOS that was installed on your Mac.

You are welcome and thank you too.

Glad to be of assistance 

Do come back to the Apple Support Communities ( ASC )  in the future, if / or when additional questions may arise

Check your home folder for Services...

~/Library/Services

I'm not on OS12 so tough to tell what has changed.

Hmmm,

Find Any File...

http://apps.tempel.org/FindAnyFile/index.php

Hold Option or alt key when selecting Find to Find All.

find all for name>Contains...

Services