So if Doofenshmirtz's mother would never let him swim in public pools, (De Plane! De Plane!) how could he disgrace his family によって being unable to jump off the high dive (Split Personality)?
In "Split personality, it's sort of a right f passage for a boy to jump off the high-dive, and that is what I think why he was allowed to go to the pool.
Actually, he wasn't really supposed to jump into a pool. I won't tell あなた what it really was, but let's just say that it was only filled with water on alternating thursdays.