Sorry to hear about your experience. I hope it starts going better for you.
I got my 2022 MYLR AWD in Dec 21 and we've had a few service calls since. Sometimes the remote service was able to come, other times I had to make the 75 min drive to my nearest SC - including to repair/replace the heat pump twice (I had the same problem and error message as you did). Being in Quebec, good/reliable cabin heating is a must. Overall, I like my MY, but am coming to the painful conclusion that I will need to make many trips to the SC. I never imagined a new car would need so much attention. I'm not able or willing to treat my car like a Faberge egg.
And just last week I found a long crack in my windshield, after the car sat in my closed garage overnight. I took it to a local windshield repair place and he took a look and immediately said "stress crack". So now I have to go back to the Tesla SC yet again, with fingers crossed Tesla covers the repair.
But I need to put this in a separate post as it has nothing to do with your problems!
FWIW, you're not alone in having to make multiple long trips to the nearest SC. I feel your pain. Also, I'm being as cool as I can with the SC guys because something tells me I'll be seeing them a lot and I figure it's better to have them on my side.