How to clean the glossy display?

I have installed a new high-gloss screen in my laptop. My little mouse was on it for 6 years, I have a handprint on it. How do I get the way without damaging the display with aggressive cleaning agents.

With a soft cloth dampened with water.

There are extra display cleaners in technology shops.

Thank-you

All cleaning wipes go without alcohol. Alcohol makes the coating on it easy to attack.