How did you get in touch with a TK manager? Was it from the call center or feedback CS? I asked both departments and said they are not authorized and would have to just wait while they open a new feedback case that seems to go no where?
Regular CS. I should say that I never actually SPOKE to a manager. After arguing with the regular rep for about 15 minutes I demanded to speak to a manager. The rep said ok please hold then went away for about 10 minutes. When he returned he told me that it was all done. I obviously didn't believe him but when I spoke to LOT they were finally able to find it.
Have you considered filing a DOT complaint? Sounds like you got a confirmation and the miles deducted from TK but they haven't provided you with a usable ticket.
EDIT: I just remembered that I had also booked a United flight for November 2024. I just logged in to my account and I was able to locate the PNR using my last name and booking reference number from the TK confirmation email. So yeah, it should definitely work on United's website if it's a valid ticket.