The Red variant of Teacher Bun Bun is slightly smaller but with high health and very high attack power. Because he is a Red enemy, any strong anti-Red cat can take him out in a short time.
He has 400,000 HP and an attack power of 9,287, making him very similar to the stats of Teacher Bun Bun in the Moon of Empire of Cats Chapter 3 (399,996 / 9,000).
If you have lots of anti-Red cats, defeating this enemy will be easier than defeating his white variant. If you don't, it will be harder, because he has 5 knockbacks, half of the knockbacks Teacher Bun Bun has.
The strategy for defeating the regular Teacher Bun Bun (see the video below) sort of works for this guy, but you can defeat him by spamming small cats while using stronger anti-Red ones to deal some damage. Dark Cat and Crazed Axe/Manic Dark Cat can easily tank a hit from a 200% buffed J.K. Bun Bun, so they are a strong meatshield to take.