There are many kinds of desiccant. Silica gel is but one.
Clay is functional as another. Kitty litter comes in both varieties.
I myself would not use the bead kitty litter as desiccant because it is treated with chemicals to remove odors, that may introduce their own issues. Also, my silica gel is treated with cobalt chloride to indicate the moisture content (turns pink when wet, and blue when dry).
But if your desiccant is in fact silica gel, why not recharge it.
You can bake it at 225F for 3-5 hours in an electric oven (or a gas oven set on convection, as a gas flame introduces moisture that will slow the process), and get out perfectly recharged beads of dryness. Just don't bake any plastic parts along with the beads.