Best Way to Automate Master Exhaust/Ventilation Switch?

My house has this “master” ventilation switch which turns on (overrides) 2 washroom exhausts (1 on main floor and 1 on 2nd floor) as well as the house vent fan. I’m looking for a way to automate this switch.

I opened the switch and it has total 4 wires (2 black on one side and 2 white on the other). I can’t figure it out if its a 4 way switch or not except its overriding the stuff above.

Does anyone know how to handle this? What’s the best smart switch for this config?

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What do the other switches look like?

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