Wow! Nice job!I have some good news but still very too soon to tell. I reached my breaking point and considered cutting open her throat area to see if I could squeeze something out but I also noticed I didn't see her tongue when I pried open her beak to place the eyedropper. I decided to swab the throat again then I started digging in her bottom beak area and I noticed it started to loosen up. I ended up pulling out a chunk of something but more important she stopped gapping for air.
This hen has not slept in 3 1/2 days solid. I didn't think that was even possible but she needed to stay up as she was gapping every 5-10 seconds. Right now she is exhausted so I will let her rest and hope she survives. She can now at least close her eyes and rest. I am just as stressed having to watch all of this the last few days.
She actually started cleaning herself when I brought her inside. If she makes it, it will be amazing for sure.
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I hope that really helps. It's good that she is not gaping anymore. You may find that you need to dig more out tomorrow after she rests (and you too

Thank you for the photos and update.