I am so sorry to hear about your puppy.
I hope her future will be very bright with the surgery.

It's hard to keep a young puppy from playing hard.
Many years ago when Sheba hurt her neck my two
were starting to squabble. I had to separate them
for 6 months when I left them alone. When they were under supervision I would
not let them play ruff. They got use to the routine.
(but Sheba was a mature dog).

Good luck, not easy to do with a lab and a 13 week pup.