I think the nude piece would anchor the side fronts together. If you think the nude is too see through, just use it double.
Have a really good look inside the original, take pictures and measurements, and make notes. You may have to do a couple of toiles, but when you get the hang of how it's working out, it should be straightforward.
I'll enjoy watching your progress as my DGD has just started gymnastics, and her mum has just spent a fortune on one set of kit!
Jessie