The toilet is faulty. If the vent is working on the other toilet in the master bath AND the leaker is moving with the wind....,
Vent pipes need to have at least a little upward slope (not true horizontal) and shouldn't be horizontal more than 6' from the toilet. From your description, it sounds like your horizontal run is far longer than 6'. It's been literally decades since I did the calculations, but horizontal lines may need to be larger than vertical vent stacks.
if it moves up and down with the wind every time it moves down it will dump a little water out of the trap, get a strong gust, it dumps more, put a cap over the vent to shield it from the wind?
In particular look at the how far part. If you have a single vent pipe on all the stuff with no attaching vent pipes it is likely the issue. https://www.bhg.com/home-improvement/plumbing/drain-venting/
This thread is starting to stink really bad. As a shark tank shark has said to so many people. You're dead to me I'm out!