So this girl at my work wants to hangout. We’re talking and she 100% likes me but it’s a hangout and not a date but y’know, it’s a “hangout”

My mom is super controlling and I don’t wanna ask her first. My dads at work and the only way I can talk to him alone is to text him so he’ll see it on break. My dads more chill about stuff like this but I’m still nervous. What should I say?

If I say something like this will it be good?
“Hey I wanted to text you first before asking mom so don’t tell her before I can bring it up. One of the girls at work wants to hangout after we work on Saturday (it’s not a date. It’s just a hangout). We haven’t decided what we wanna do yet but I wanted to see if I could go? She said she’s gonna ask her parents to make sure they’re ok with it as well”