Welcome sree9795,
We understand you're having issues updating 'My Card' on your iPhone 13 with iOS 16. We'll do our best to assist with this.
It sounds like you've restarted the iPhone, but it has not resolved this issue with My Card. In this case, try out the following steps:
- Close the Contacts and Phone apps: Close an app on your iPhone or iPod touch - Apple Support
- Restart your iPhone - Apple Support
- Go to the Contacts app > My Card, are you able to update the information now?
In case the issue continues to occur, are you able to update other contacts successfully? Are you using iCloud Contacts? Can you edit the contact on the iCloud website: Sign in to iCloud
Hoping to hear how it goes, take care.