Trying to tighten a saddle clamp but nothing seems to give

I’m first trying to remove a stuck seat post through brute force. I’ve removed the wheels, fork, and chain so that it can more easily be worked with upside down.

I began to turn the frame in a direction while the saddle was lodged in between something strong. After spinning the frame so many times, I noticed the gap (between the red lines) becoming bigger (than what is pictured). So then I spun it in the opposite direction to close the gap; how it was before I began all of this. Now, the gap doesn’t seem to close anymore and I can spin the frame indefinitely—behaving similar to like a thread-stripped screw.

My belief is that I originally spun against the direction I was intending for, and now I’m spinning in the intended direction but endlessly. If the gap closes then hopefully I can try to loosen the seat post.

Frame is chromoly, I think the post is aluminum.

What do you think is going on here and how do we remedy it?

Disclaimer, I’m not concerned about damaging the seat post or the saddle (obviously).
I ultimately just want to install the new water bottle cage that hugs onto the seat post.