Sounds good to me. Just remember that the paper masks that you buy are not impermeable to mold spores, you need the kind that seal to your face.
And don't forget that mold is like a plant, so check the wood underneath.
Finally, in addition to the above primer, they used to make a small bottle of stuff that you could add to any gallon of paint for that purpose. Dunno if it's still available. AND, there may be something now that they put in grout, dunno, but don't forget to put the sealer on the grout, too.