You'll be best served with better prep.
Unless the "wood wall" is something odd, use a good water based primer on it and the dry wall.
If the "ww" is coarse paneling or otherwise sappy, use an alcohol-based primer to kill bleed-through, like Enamelac.
NOTE: Alcohol based means, "shellac". Shellac primers settle, mix it up and use appropriately. Clean up with alcohol and soap&water.
Wire brush the concrete wall. Mix a 3:1 batch of outdoor latex paint : water (thin it down) and prime the concrete with it.
When dry, give it its own coat of your final coat ; which, I assume, is water based.
There's more than one type of "concrete paint". A water based (latex) will likely do ya.
"Epoxy paints" are, in my experience, oil (paint thinner) based. They're good, but often you don't need them.
Select gloss finish for a laundry room.