Okay, I tried all the work arounds on this page thus far and my settings and audio screen is not the same as theirs so they wont work for me. I have a 14 and bought it in October 2022, IOS 16.3.1.
I facetimed a friend from my phone but he didn't answer. Then I facetimed him from my macbook pro and this time he answered. I tried to make the annoying notification come on by doing a live view of a ring camera from my macbook pro. The notification did not pop up. After I hung up from facetime, I tried it again and the notification did not pop up. I logged into this forum which asked for my icloud id and password and it gave me a notification that I was logging into icloud from a new device. I rebooted my phone to reset anything that might reset and tried it again. I closed out of ring, opened ring, and the notification started back with it's annoying Connect to MacBook Pro message.....SO ANNOYING!! But it is all tied to facetime somehow. This time when I clicked DISCONNECT, it actually disconnected. I quit ring and relaunched ring, opened a camera view and the annoying message did NOT appear. Let's hope it is fixed.
If I reboot my phone I will get notification again but when I click on Disconnect, it does. I would rather it stop asking me even once.