I was hoping that it supports controllers, as i recently bought a pretty neat controller that you plug the phone into the middle of, and you get buttons and thumb sticks on each side of the screen. Kind of similar to the joycons you have with a Nintendo Switch. This controller is PlayStation branded, but produced by a different company that has licensed the right to brand the controller that way.
Anyway, I am happy to report that yes indeed this game works with my controller. Left thumb stick moves the character around, and right thumb sticks moves a sort of aiming square around!
Edit: the pointer sensitivity was a bit high for me, but it is adjustable in the game settings and after adjusting it it is comfortable