The common solution is use Xray or Amnezia when WG is detected by firewalls. If you have BTH, then you likely have a container support which can run one of the services. IDK which one is best (or others) but seen a few post on forum about Xray and Amnezia when the topic of WG being detected+blocked.
I suspect it's a nationstate firewall, since at least one country purportedly detects standard WG on the wire.