Coolant Leak Question

I have a 2002 Buick Regal with a coolant leak.  Two things have been done so far, both of which I believe were needed.

First the lower intake manifold gasket was replaced.  Secondly, at a later date, I had the heater core replaced.

My question relates primarily to the heater core.  There is what I’m calling a drain port (don’t know if that’s the correct name) on the firewall which I believe provides drainage for the heater assembly.

Should I ever see fluid coming out of this port?

Does the port drain the air conditioner as well?  If it does then you would probably get condensation drainage.

I’m trying to narrow down my search for a continued leak.

Thanks for any help you can provide.