Try getting as much out as you can with warm-water,
possibly a little-detergent/soap.
the only-solvents which are going to dissolve your-ball-point-ink-stain
are organic-solvents (nail-polish-remover, ethyl/isopropyl/rubbing-alcohol, ...)
which are highly-FLAMMABLE, possibly-EXPLOSIVE in your-dryer.
After you try warm-water,
you can try an organic-solvent (like ethyl/isopropyl/rubbing-alcohol ...)
but ENSURE you clean it thoroughly with warm-water, & let it dry