Well, I'm stumped. When I edited your raw file, the moire is much less, and it's really easy to remove.
But for yours, we'll have to do it the hard way.
First, add a Dodge and Burn layer. Don't do anything to it yet, just let it sit there.
Next, add a Solid Color layer of the good shirt colour. Set that layer's blend mode to "Color", then mask it to the shirt. That should take care of a lot of the moire, but a few visible stripes will remain in the worst areas.
So return to the D&B layer and gently correct those striped areas.