LG LRDCS2603S /00: How can I take out the pin from the fridge door bottom hinge for reversal?

I recently purchased an LG Fridge (Model LRDCS2603S/00) and am attempting to reverse the door (so it opens from right to left instead of left to right). I have been following along in the manual how to do so and have come to a snag. When attempting to switch the center assembly hinge, I am unable to loosen the pin. The manual says
Use a 1/4 in. hex socket wrench to loosen the hinge pin (1) and remove it.
See the image of the step:

But when I attempt to do so, it doesn't budge at all - not even a turn or anything. I attempted a normal hex screwdriver, a socket wrench, and I even used my drill with 1/4 in. attachment - I ended up marring the pin head so bad it was no longer able to be grabbed with the wrench. I decided to purchase a new assembly thinking there was something wrong with my part, but the new one has the same issue. Here is an image of my new part:

Has anyone gotten past this issue before and have suggestions on how to proceed? I know links are frowned upon, but if it helps, here is the link to the refrigerator owner's manual and a youtube videoshowing how it is done.
EDIT
As per requested by Criggie, here is a view from the underside:

And a close up of the pin (the little marks around it are where I was trying to hit at it with a hammer and flathead):

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And the answer is …

It took me a new bottom hinge ($40 from LG’s website, p/n AEH75957701 Center Hinge Assembly) to learn how. Simply make sure your 1/4” hex range goes all the way in the hinge’s pin and unscrew it as a regular screw. That’s all. On the photo is my original hinge which I managed to unscrew with an ease, after I knew what to do. The manual has to read “unscrewed like a regular screw” instead of “loosen”.