The thermostat clicks but nothing else happens, no a/c will come out or no heat [I tried both]

(I have this model at my home). If you switch it over to emergency heat and nothing comes out then check the breakers behind the panel for the air handler (inside unit)
There may be other issues, mine had a sequencer which had come apart. The newer
sequencers have a retainer clip to prevent this. It is located under the galvanized cover inside the indoor unit next to the transformer.

Also check the breakers at the main panel (there should be two double breakers, one should be a 20 to 25 amp for the outside unit and the other should be around 70 amps for the indoor unit). Fully reset them after performing checks described later. .
If your outdoor condensor compressor is failing (as mine did), it will trip the smaller breaker, if your indoor unit has a short or other problem it will trip either the 50 or the 70 amp breaker. Make sure you turn off all breakers before inspecting.

One last thought, if your thermostat has battery backup and the transformer has failed, you will still hear the click but nothing will operate
since the 24 volt transformer operates both the indoor and outdoor units.
It is located under the galvanized cover inside the indoor unit.
(I would suspect this if all else appears normal with no breakers tripped). A universal transformer is around 8 to 12 dollars make sure to use the 240 volt wire and the COM
when installing it. (there are several wires for various input voltages on the primary).
they are available at any HVAC parts store. Power off to all sources before repairs.