This is how you replace a 24 volt contactor inside of an air conditioner.
Make sure all the power is turned off to the air conditioner.
Now remove the thick bottom left wire and bend it down and to the left.
Remove the thick top left wire and bend it out of the way up and to the left.
You got the idea now do the same for the top right and bottom right thickest wire.
Now UN mount the contactor and pull it away from the unit as far as you can with the wires still attached.
Now mount the new contactor exactly where the old one was mounted
The Coil is the terminals on the left and right.