Great that you are safe!.. modern safety design, starting in the mid 80's and really advancing since the late 90's has made survivability and low passenger damage a much higher probability.
As for the car, it's MOST LIKELY going to end up with a determination of TOTALED and frankly I think that is what you want. With what appears to be pretty significant B and C pillar damage I think overall structural torsion of the car and body is going to never be the same.
I don't know enough about how the battery PACK and sled are reenforced and protected for side impact or impacted (no pun intended) by these types of impacts, but I'm going to guess that either Tesla or an auto/body shop isn't going to be able to confidently remedy and CERTIFY for future use.
Even for a relatively NEW car, once repair moves up to ~50% of the replacement value or higher or could take six months or longer and confidence in being back to its "prior state" and be able to re-insure is low, it becomes a write-off.
But you'll learn more once the insurer is engaged. Just a note, if you are in the position for something like this. IF you get a replacement, and made whole, whatever, consider finding out from the insurer what the "salvage value" of the car might be. There are many people who have totaled Tesla who part them out, sell them to auto shops, the battery pack is of HIGH value - might even be to Tesla is some way. There is probably money to be made here if one is willing to put in the time.
Regarding the actual crash: I doubt the airbags deployed "prior to impact". This isn't the way they are designed even side-bags. Airbags are designed to deploy when the impact is felt from an acceleration standpoint that is measured. It's lower (the measured acceleration/impact) in side bags than for front bags, but not by too much. Front bags go off in about 50 m/s... SIDE bags about half that (faster chemical 'explosion', so there really isn't any way for the human eye or body to even recognize or realize it.
Just prior to impact expectation, there IS a lot of pre-conditioning of safety systems that goes on in some of these impact deterrent systems within 100 m/s. Pre-tensioning the belts (possibly), pre-charging the airbag explosive. Priming the fuse so to speak, and some other things depending on manufacture. I'd be interested to see exactly what Tesla has for this just to know.
As for you or your occupants. As much as you sound like you feel okay, I'd be extremely aware of any symptoms that might reveal themselves in the coming days. Cervical spine, hard and soft injuries from front and side impact can take days and sometimes weeks to present but can also take months and years to heal sometimes if ever. It's better to get some visibility now vs. later for many reasons.
Just a thought.