The mineral spirits will be gone in 24 hours. No need to throw it out.
But if you had enough to get it that wet you added WAY too much. I find I only have to add more once a day. I use a plastic squeeze bottle (like ketchup and mustard used to be in on restaurant tables) so I can spread it out and monitor how much I add. I give it 2 quick circles around the agitating media about 10 minutes prior to adding the brass. Works great for me.
I also use OMS (odorless mineral spirts) to keep down the odor since I tumble in the basement.