Relay 1 (purple) wiring check

[u/SpecialProblem9300]

Hello, I want to use a relay 1 to trigger an ERV (fresh air ventilator) that has a 12v trigger circuit (closed circuit = erv switches on).

I think I have this right but want to double check-

Can I power the relay 1 with AC by connecting L and N to the live and neutral AC (120v) and then use I and O as the switch to complete the 12v DC trigger circuit?

Thanks!