Switch hookup with relay (arduino)

Hey all i have the following 5v relay board:

View attachment 68416

Please ignore the light bulb hook up. That was an example on the website that had the same relay

And i am looking to hook one of the relays up to a monetary switch:

View attachment 68417

Now this is what i am guessing is the way i connect the switch to the relay board:

View attachment 68418

Connecting the ground to both the left connector pads on the switch and shorting them together "presses" the button. I just want to make sure the hookup i have drawn there is the way it should be connected to that relay board?

So when i apply 5v to the pin 1 on the relay board (Arduino Digital pin 3 goes high) it will close the circuit in relay 1 which will act as if i "pressed" the button?

Don't do that. You appear to be connecting a tiny pushbutton to 220VAC.
I don't know exactly what you want to do, but don't do what you've shown.

Please ignore the light bulb hook up. That was an example on the website that had the same relay

Got it working by hooking it up via the common/normally open connections.