I have discussed it with my vet and he feels it is nearly 100%. But, I think it depends on the skill and knowledge of the vet your using. Mine is very good with reptiles and has a BD himself.
I considered it for one of mine but decided to mate her instead. It is easier to lay fertile eggs than infertile so the egg binding issue is much greater with unbred females. Your dragon may lay mutiple clutches so you may have to revisit this problem again in a few weeks assuming this time works out OK.
The good part is that females get smarter about laying eggs as they get older so your risk decreases.