Cat sleeping in crib

Courtney
How can I keep this darn cat out. 😠 I'm tired of changing the sheet or lint rolling it and the baby isn't even here yet. I'd keep the door shut but the upstairs thermostat is in that room so if the coal stove heat can't get in the room then te oil furnace turns on for the whole house and we end up having it 80+ degrees 😳😳😳