Just wipe them down with an old t shirt or something like that with no lint.
Gluing over the little fibers from the blue towel wouldn't cause much trouble as long as they were small and dry.But still I would use the t shirt. Make sure you use the thin CA so you can work the drip of glue just by tilting the tire around. I also pull the tire away from the bead slightly and very briefly to let the glue work its way between the tire and rim while tilting the wheel around.
Don't forget the rubber bands to hold the tire secure to the rim while they dry.
I hope that all make sense.
Good luck