There is also 5V on HDMI. Since your box is supposed to use only 5V and you used 12V you can imagine that until it burned it sent 12V where normally 5V goes.
So itβs likely you killed the TV Port. You would have to open up the TV get the schematics and try to measure and see if something can be repaired.
BTW. The name is coming from CEC which uses a different pin.
Perhaps your TV has some other video inputs. There are cables which have hdmi at one end and DisplayPort at the other, for example. You might be able to send your signal into a DP on your TV?