On Android, in the bluetooth connection settings for the CMF Watch 3 Pro, you can turn off the “Phone calls” setting. However, turning off that setting will also disable the ability to use the watch to trigger your voice assistant (ie ChatGPT, Google Assistant, etc.). You also won’t be able to make phone calls from the watch, obviously.
Leaving the “Input device” bluetooth connection option turned on will still allow the watch to connect to the Nothing X app to update your health data, etc.
If you have the Tasker app, you could set up a profile to disconnect the Watch 3 Pro bluetooth when you answer a call, and then reconnect after you hang up. For the profile, use the state for incoming call, not the event for phone ringing; otherwise, you can’t set up an exit task to reconnect the watch bluetooth.