패다 is beating someone, and it almost never stands alone — it comes with a verb in front: 두드려 패다, 후드려 패다, 쥐어패다, 후려 패다, all meaning to thrash or lay into someone. These are violent words used lightly in most of these lines: 팩트로 뚜드려 패는 형 is a hyung hammering you with facts, not an actual beating. The spelling wobbles (두드려/뚜드려/후드려) because it is spoken slang. It is rough language and not safe to use about real people.
Register: rough slang; a violent word used jokingly