Don’t know if it is of any help (I am not running PMS in docker) I managed to get it working with access to my PMS via a subdomain, while some other services run as /servicename
e.g.
plex.mydomain.com -> takes me to my PMS
plex.mydomain.com/webtools -> takes me to my webtools plugin
plex.mydomain.com/plexpy -> takes me to my tautulli
(I did set all this up a while ago, when tautulli was plexpy)
Edit, just saw this as well, so that poster might be able to help.