Have you contacted School Nurse for a referal to Continence Team? They don't usually show much concern until 7 but would be a way of having support if continues. Also, how is her drinking in the day?
I have a child whom is mostly dry in day (occasionally left until last minute or requires an urgent visit that means a little dribble) but not at night - they have tried going pull up free but are distressed and sore from the wet bedding. They are so traumatised from the interference of well meaning help that they are now scared of being without a pull up and won't sleep (this child will and has!) at all. After filling out a diary for School Nurse they referred to Continence Team whom discussed what had been tried and how their drinking was in day. They are awful at drinking mind but even on days they weren't, it was as tough.
There is medication available (after exhausting above) that can help but isn't effective if the child's body isn't ready. My child is 9 and is far from lazy/in poor habits. They use a pull up, have pads under sheet (won't sleep on top of), and I have a layer like this on the bed from the mattress: waterproof mattress protector, mattress protector, mattress topper, mattress protector, pad, sheet, protector, pad, sheet, blanket (likes the feeling and would quickly absorb. If pull up leaks (happens sometimes) then I remove blanket, sheet and pad (if pad has moved, then by then the protector has done its job so will remove that too) then add another blanket.
If your child is distressed by the wetness, then offer a pull up as protection (mine is ASC so is very distressed by the sensation); if they are OK with the wetness and just need help getting sorted, then I'm afraid the layering may have to do. For quickness, try just wiping over with a warm flannel and showering in the morning (not sure how often she wakes or how affects her sleep/school). The issue is that if you go back to pull ups, it may be harder to get her out of them again or relaying to her friends (children aren't always kind - mine chooses not to share, their right). I understand its tough on you but you don't want to add another hurdle. Your daughter may not be ready yet or she may need a little more support to help her body 'learn', but at 6, they likely wont offer much more than time and a check in later 😀