Can't Add New Contact Card

Perhaps that work for this specific situation

But the underlying issue may still be lingering

Based upon the user's assertion that this issue has existed " since Big Sur (?) " - I would not expect it to go away any time soon or if at all

Good Luck later this year when the Next Version after Ventura is released.

You are welcome for the free advise.

IMHO - There has been sufficient advise offered for the User ( you ) to make an informed and educated choice what remedial actions are  required for this computer issue.

The suggestions have been put forth on a volunteer basis, in good faith and in the best interests of the computer.

Dis-associate the Contacts from Syncing from a Third Party Source long enough to Add the Information into the Contacts application.

The reverse the previous step and TEST