AIO? My mom's not spending my birthday with me because my dad booked a dinner res

For context: my parents are divorced, have been since I was a kid. Today I was meant to be working 3:50-10pm, but my dad convinced me to talk to my manager last night and ask for the day off. THANKFULLY out of the kindness of my managers heart she gave it to me! I really wanted to spend the day with my family and friends but they all thought I'd be working today and I understand that it's verrryyyy short notice that I'm not. I asked my mom if she'd like to go out lunch or anything today because I know she really wants to see me today. Well that kind of backfired as she then asked what I'm doing tonight and I mentioned my dad booked a dinner reservation at 7 - he didn't tell me beforehand that he booked it, but im happy with it, as its my birthday!! She flipped out saying I'm prioritising him and then brought up some irrelevant stuff after. Tomorrow morning im meant to be going to a college day an hour away from where i live with my mom and im working at 2 so I thought this would make up for the lack of seeing eachother today. AM I OVERREACTING? Did i do something wrong?