How best to climb with severe hyperhydrosis hands?

Hello! A friend recently took me to the climbing gym and I fell in love with it, I'm thinking of buying a membership and starting to go regularly, but I have one problem; I have severe hyperhydrosis on my hands and feet, where they sweat constantly. It gets so bad sometimes that I can't use my phone screen. I'll place my hands on the mats and leave sweat marks.

I was looking for advice on reddit and noticed someone suggested liquid chalk. I tried that, and regular chalk, to no avail. I feel as if this is preventing me from getting good holds as I can't build up traction.

Do y'all have any recommendations? Gloves maybe?