I know a LOT of Australians...not a single one of them have ever mentioned beach baths. Maybe the poster mean Austrians? It’s deffo not common in Australia 🤣
Cosy. It’s not at all abnormal for your Dd’s age group to feel they have better things to do than waste time showering, worse yet, bathing. It doesn’t have to be a sign of anything more than CBA. I didn’t go through that stage because from being very young having a shower when we got up was just what happened, we all had to be out of the house, together, very early so there was a set order of showering and no messing about else everyone was late and that included my Dad for work and that wasn’t happening. Even now, I HATE it if I can’t have a shower when I get up and don’t feel properly awake all day. Obviously you can’t go back in time, but you can start today. Up, shower, deodorant, teeth, dressed...nightmare in the wash. Not negotiable. Every. Single. Day. Forget the options & messing about. There is no option. IF she wants a bath/shower laterrrrrrrrrr....fine, she can...but in ADDITION to the non negotiable morning routine. Also the ‘I had one last night...’ the only reply to that is ‘Lovely, but that doesn’t change the morning routine’. It just has to become a non negotiable part of her day.
I have long hair, it’s very healthy, if hers needs washing daily it needs washing daily and contrary to old school thinking it does not ‘damage your hair’ or any other nonsense. But experiment with other shampoos & conditioners.
As was said earlier, Dove original blue top is good (the formula of the others in the range is different, some I find ok, others not, dark blue is reliably good).
As for her shirts, the Dove will help with that. You don’t need to replace them though. Buy some boxes of DrBeckman sachets of laundry whitener (pretty much all supermarkets have them, I use one in any whites wash), wash on 40 deg and hang them outside in the sunlight...leave them out as long as possible. It might take more than go, but they will be fresh and clean/bright.