If air pressure gets it out it is NOT stuck. Flying pistons hurt, maime, break car windows, etc.
Just get a full grease cartridge (if a mini gun) and either loosen the bleed valve and use that to pump grease into or insert the threads into the opening for the brake line in the caliper and pump away. Threads don't exactly match but that's OK so don't attempt to thread it very far.
This works. Period. End of subject. Make it easy on yourself.
Oh, may as well grease your swing arm while you have the gun out.