What a Sweet Girl!
Yes, if she's eating/drinking and moving about, try putting her back with her flock.
You can go out and check on her of course and pull her aside daily to give the Extra Calcium.
I leave mine with their flock unless they are getting picked at/bullied or if they have prolapsed tissue which can get picked/damaged.
They are happier there even when they don't feel the best.
Hopefully the Extra Calcium will help firm up the shell, help push out any more material (soft shell, etc.), it can also help with retention so it may help avoid prolapsing or at least not quite so badly.
It does look like she expelled more membrane too. Can you tell if she has any albumen (whites) or yolk leaking from the vent? Everything came out intact?
I'd be concerned about infection if there's a chance anything leaked, which looking at that membrane, perhaps it did (?).
IF you think so, then consider giving an antibiotic to help with infection. Amoxicillin is a good choice. If you have any on hand that would be good, if not,
you can order it online. Dose is 57mg per pound of weight, given orally twice a day for 7-10 days.
You have two 5mo old in the garage too? Are you quarantining them since they are new, are they sick or?
At that age, you could try to start slowly introducing them unless you are observing a quarantine for some reason. Do you have space to house them next to your existing flock so they can all see one another? Introductions can go all sorts of ways you just never know. I always expect D.R.A.M.A. with mine and I usually get it, but things calm down after a while (a month?). Fun times
