Had the tub replaced about a year ago. It is on the 2nd floor. The drain keeps clogging up. Clears pretty well with Drano but I would like to clean it out with a snake. The drain stopper is one that doesn't come out. It has a protusion that can be used to lift it up so the will drain. I would like to remove the stopper to accesss the drain. Can I put a wrench on the protusion and unscrew it? I have never seen a setup like this. thanks.

snake thru the overflow hole. just remove the plate to gain access.

On most of the lift and turn waste assemblies, you close the drain then unscrew the little cap to remove the stopper. They have a fairly restrictive crossbar underneath them and that's likely where you'll find a wad of hair.

You can remove that hair with a wire close hanger straight piece with a small ell bent in the end about 1/4" of bend. If you can't retrieve it all use a knife and cut the remaining hair. But snake through the overflow first. When you have removed all that you can and used the knife, you may need to use a garden hose to pressure flush the remaining debris. Be careful and have someone be prepared to turn the water off immediately when you call out.