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A thorough scrub with TSP, followed by a thorough rinse might be enough. Let it dry completely, mavbe follow up with a tack cloth, and/or a solvent wash prior to painting.
One of the issues here is the paint itself may fill/obscure the original pattern, but you can always add some grit to the paint, or use a product like Interlux Interdeck which already contains the grit, to actually improve the nonskid properties above and beyond that of the original pattern.
A two-part paint will have more durability at, of course, higher cost and complications of premixing.
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)