Be sure to request someone expert, skilled & advanced or you may just get a so so PT.
They don't have to know about TOS specifically, but as long as they know the body well, and communicate with you as to how the sessions are going, and NOT making your worse, they should be of help.

TOS also makes for referred pain/symptoms & delayed pain/symptoms, so PT has to be adapted if pain increases later on after the session or even the next day. It often takes awhile for us to connect the dots unless someone has mentioned it so we know what to be aware of.

And the focus should be more the whole body & posture not just where the pain is. (natural alignment not forced /military postures)