I don’t have direct experience, but rabbits with chronic watery eye is not unheard of: https://rabbit.org/chronic-runny-eyes-in-rabbits/
As you can see, there are many potential causes, with some being treatable and others not, and assessments are required to really figure out which is the cause. In the meantime, it’s important that you are tending to it so that area is as least irritated as possible and does not become an attractive ground for bacteria/infection.
As someone who has gone back and forth to the vet to figure out a mystery (in my case, it was my rabbit having atypical syphilis), I know it can be frustrating, stressful, and expensive. If you don’t feel comfortable having a frank conversation with your current vet about next steps and/or you do not trust this vet with rabbit-savvyness, another vet can definitely be considered.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.