As relative humidity goes up, what do you predict will happen to the wet bulb/dry bulb temperatures?

the wet bulb will get warmer because their will be a smaller difference between the the dry/wet bulb temps.

Explanation:

At any given ambient temperature, less relative humidity results in a greater difference between the dry-bulb and wet-bulb temperatures; the wet-bulb is colder.

For your problem, this is opposite, therefore it will get warmer.