Found workaround - installed TMT trial from Uplay, while Steam version installed also. Game started with my own account and run just fine.

It is not there in my case. I bought TMT on Steam, and even if I uninstall it from Steam and uninstall Steam itself, Uplay will launch Steam installation and install TMT over Steam then. Tried to run it as admin from the folder where Steam install games (steamapp/blablabla) without any luck

Same here, tried on different PC with the same result.