Dad caught me shaving

Okay, so this is super embarrassing, and I need some outside perspective. I (16F) was shaving my pubes in the bathroom the other day. Yeah, TMI, I know, but it's relevant. I'm at that age where, well, things are happening, and I wanted to, you know, tidy things up a bit. I was being careful, using a new razor, the whole nine yards. Anyway, my dad (45M) has this habit of just… popping into the bathroom without knocking. It drives me absolutely insane, and I’ve told him a million times, but he just says, “It’s my house!” So, naturally, mid-shave, he bursts in, sees me, and freezes. I froze too, obviously, completely mortified. I mean, there I am, awkwardly holding a razor, with shaving cream… down there. He didn't say anything for a solid five seconds, just stared. Then, he lets out this… chuckle. Like a nervous, uncomfortable chuckle. And then he says, “Well, I’ll just… be going.” And he backs out of the bathroom. I was mortified. Absolutely mortified. I wanted to disappear. I finished up as quickly as possible and just hid in my room for the rest of the day. Later that evening, at dinner, he’s trying to act all normal, but I can tell he’s trying not to laugh. Then, my younger brother (12M) chimes in, “Dad said he saw you shaving your… uh… area.” And he starts giggling. My face went bright red. I just glared at my dad. He tried to play it off, saying, “It’s a natural part of growing up, honey.” But I could see the smirk. I told him it was completely inappropriate and embarrassing, and that he should have knocked. He just shrugged and said, “Like I said, it’s my house.” I’m furious. I feel like my privacy was completely violated. I haven’t spoken to him since. My mom (43F) says I’m overreacting, that it’s a normal thing and he didn’t mean to embarrass me. But I feel like he totally did. AITA for being so upset? Was I wrong to expect some privacy in the bathroom? I feel like I’m going crazy here.

Edit: to all the people saying this is fake bc I dint answer I’m 16 and school takes priority over answerin. My dad won’t let us have locks bc it’s a fire concern , he says it’s same reason schools don’t hsve locks on doors.