Regardless of how frustrating the situation is for OP, he is not "OWED a brand new car at the least", if by "owed" you mean legally that tesla has to do something other than attempt to fix it 2 more times before lemon law can be enacted.
What you "feel" they should do has no bearing on what they "have" to do. and hopefully OP remembers that when speaking with them. Tesla might decide to take it back prematurely to make the OP happy, but if the OP goes all "scorched earth" like you are sounding, they will likely circle the wagon and start quoting the laws on what they HAVE to do.
If I was OP, I would also be asking for a replacement car, as I would be frustrated with the current one, but I would NOT be invoking any terms like "lemon law" in my discussion with them. A lemon law claim is a specific legal thing, and once you start down that path, there willl be no more "good will" gestures etc, tesla (and any other manufacturer) will do exactly what they HAVE to do.
Like most things, its all in how one approaches them. Rolling up to tesla (or any manufacturer) with the "you have to give me a new replacement car" attitude will go no where, except for them to start saying "well, what we have to do, is fix it, in two more times.
You pay your hard earned money for something that works....you should get it.
Tesla can afford to give him what he paid for. There is absolutely no question about it.
It has nothing to do with the law. Its ethics.
Its that subject that has disappeared from the face of the plane these days.