Can I mute the Facetime ring on my Mac?

I'm using Big Sur (11.4) with Facetime calling turned on. Whenever I get a call through Facetime or to my cellular number, the Mac silences whatever I was doing and puts out an obnoxiously loud ring. I know I can turn Facetime calls off completely, but that's not what I want. I do want to get call notifications on the computer, I just want them to be silent. Ideally I would like them not to mute my existing sound (music or whatever I'm doing) unless I take the call. Is there any way to turn off or mute Facetime rings while still receiving notifications?