Is there a way to wire a relay for doorbell #1, relay for #2, and outdoor switch for both?

My house was previously multiple units, and has nice sounding chime doorbell for two floors. I've set up a relay board so family members can ring one or the other bell from HomeAssistant. If someone comes to the front door, I'd like them to press a button to ring both.

Obviously I can use a smart button and a simple automation to trigger two relays. But is there some way I'm overlooking to have a dumb, standard wired doorbell button that will ring both chimes without causing either relay to also ring both?

Maybe there's a DPST weatherproof push button out there that would look nice on the wall?