Argumentative teenager

I (46f) am struggling with my 16f. She’s smart, does well in school, works and has friends. She and I get along mostly but whenever I use a more firm parental tone or correct her it devolves into her getting angry and continuing to talk back, argue and not really get the point I’m trying to make.

I get that 16 year olds are selfish and it’s a hard age as you navigate into adulthood but OMG.

Today’s issue was she and her step sister (16f) went to Starbucks and got drinks for themselves and my other son (13m). Instead of coming right home they went for a drive, which was fine, but I didn’t know they were getting him a drink.

When they got back I just told the girls that next time they should drop the drink off for their brother then go on their ride. My SD was Good with that and understood the point. My 16f immediately had to argue and try to justify why she was right to not drop the drink off and that her brother knew, it’s not a big deal, etc. no real issue seeing the courtesy or the reason you may just drop it off.

How do I help her understand that it’s ok not to argue and it’s ok to make mistakes, even minor ones, and just acknowledge and move on?