While I agree that water is wet in general, I don’t think this is a complete question. It’s somewhat difficult to answer because I don’t know what the person asking’s expectations are.

Water is wet if we’re talking about how it feels to interact with and how it will make us wet too.

Water isn’t wet if we’re talking about things which are supposed to be dry but aren’t, like when surveying the damage after a spill.

I don’t mean to butt in if the two of you are just having fun, but this Vsauce video on the philosophy of definitions might help sort through some of the more confusing feelings.