You're allowed to bring a leased car to any mechanic for repairs. You don't have to use the dealership, or even OEM parts if others are available. Or at least every lease agreement I've ever read-- and I always read the whole thing-- has never limited this. I'm in the US though, things may differ elsewhere.

Also the correct word it moot, not mute. And neither apply in this situation, so the issue of mute is completely moot.

That is your opinion. Another way to see things is that if you have to pay for repairs you should be able to choose whatever method suits you. If Tesla wants to restrict repairs they can include all repairs in the leasing price.

I would add that leasing is actually considered a temporary transfer of property in many legal systems.

Just like if you rent a flat the owner cannot tell you to use only a certain company to paint it or do some repairs (expect of course the ones that are paid by the owner)

Moot