I get what you guys are saying about wrapping the cage & window screen.
Wrapping the cage is 1-2 years down the road and will have no issue if your diameter is 5-6'. Window screen ... every pic I see here posted looks flimsy and attached to the trunk ... no room for growth.
Th e OP has to determine their availability to be present? If you don's live onsite and can check/adjust every day, do the most expensive thing that assures while you are gone that critters don't win!
One mouse can girdle & destroy 8-10 trees over 5-6 weeks .... good luck and welcome to the insanity