I broke a large capillary post-BBL Forever Young. Will it naturally repair itself or should I go back to the doctor to zap it?

The best treatments for capillary issues are vascular lasers such as pulsed dye laser, Excel V, Aerolase, Venus Versa IPL, Laser Genesis or Yellow laser. The settings are determined on a per case basis, so it is best to consult with an expert to determine what will work best for you. We often combine vascular lasers with non-ablative fractional lasers such as Clear + Brilliant or Venus Viva for better results. I would suggest seeing a cosmetic dermatologist for a formal evaluation. Best, Dr. Emer.

Thank you for your question and your pictures.
Sciton's BBL has a setting to treat bruising that may help to resolve this broken capillary a bit faster.  Once it has settled the residual underlying vessel can be treated with the vascular setting which is good for treating small capillaries.
Hope this was helpful for you.  Good luck with your treatments.