Ok, there is no Chime DND via a Rule. However, if you go to the App, Live Stream your Video Doorbell pro, Click on Settings (top Right), and Tap on Chime.
You can set DND their and the internal chime will not sound when the doorbell is pressed, I tested that. But it must be done manually. you can set a from and to time so that for that period DND will be active. Image Below:
You can add it as a wish item here:
Add More Triggers for Wyze Rules - Wishlist / In Progress - Wyze Forum