You might have to just regularly take it to bits and clean out the filter. There’s tons of guides on google.

Alternatively, you could buy a cooling unit this might put another layer between you and the bunny hair. Might put less pressure on your computer if hair is restricting the airflow. My previous laptop had real problems with overheating but the cooling unit really helped. Only downside was that it dug into my legs in bed.

If you’re a better laptop keeper than me, you might also restrict your laptop use to hard surfaces as this would help with cooling (and presumably your bunnies aren’t on those surfaces).

Hope this helps.