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Hello reluctantfacetimer and welcome to Apple Support Communities.

I see you're having an issue using FaceTime on a MacBook Pro.

You mentioned having set up a new Apple ID for this Mac. Did you have another, different Apple ID before doing that? If you do, and you add that as a reachable at address, does anything change?

Are there any other FaceTime capable devices (i.e., another Mac or an iOS device) available to you? If so and you add the email address associated with this Apple ID, are you able to use FaceTime on those devices?

The idea here is to isolate the issue to something with the account or something with the device.

If you are able to connect using a different device or if you are not able to use a different device for isolation, try these steps on the Mac.

Use safe mode to isolate issues with your Mac - Apple Support

Booting into safe mode will clear some system caches and only load extensions the Mac needs for basic operation. After booting to safe mode, reboot again normally and test.

If the issue persists, set up a new admin account on the Mac for testing.

How to test an issue in another user account on your Mac - Apple Support

If the issue persists in a test user as well, the issue is probably with the account. In that case, you'll want to reach out to Apple Support for additional options.

Contact - Official Apple Support

Cheers.

Hi reluctantfacetimer.

Glad to hear the situation has been sorted. Have a brilliant rest of your day.

Cheers.