I have a feeling the dealer didn't really understand anything about the car (which is why I got a decent price for a vehicle with FSD Beta).
That was true for the Toyota dealer who sold me the 2017 BMW i3-REx and most of their other potential customers. In their ignorance, the battery had discharged to a very low state of charge and did an initial test drive on just the range extender engine-generator.
Although they had an L2 EVSE in their shop, it wasn't used until I insisted that they put a two-hour charge on the car to test the charging circuit. I then used that data to calculate the battery capacity which came in ~27 kWh versus new 28 kWh. But when I got home, I also learned there are two subtle trims, I01 and I02.
The I02 has dynamic cruise control versus static cruise control of the I01. A nice to have, I prefer having the 106 mi EV range versus my previous 2014 BMW with 72 mi EV range.
If your Tesla charger initially had a higher than 16 A charge rate, it might be a bubble in the coolant loop. My understanding is the Tesla coolant loop needs a vacuum pump to purge any bubbles. A coolant bubble could lead to local heating.
I once had a Prius Prime with a similar charging current limit ... by Toyota design. But the 8 kWh battery, it didn't matter. Your battery is an order of magnitude larger so I appreciate the problem.
Tesla does sell time limited, technical document access but the rates are steep. I used it when replacing the passenger side, wheel bearings. There is also a time limited diagnostic that runs on Google Chrome. Having a backup EV, I felt comfortable handling the repair. But if it is your only vehicle ... Tesla repair makes more sense.
I forgot to ask, do you have controller HW 3.0?
I'm a little worried it's indicative of a leak in my air conditioning somewhere which is probably not cheap to fix.
I had a similar concern during the recent heat wave but noticed the lethargic volume of air coming out. I had not changed the air filters in the 4+ years of ownership.
I'm in the process of replacing the air filters and suggest you wait a day or so. I have already come up with one change not previously mentioned:

Matching the thread of the original screw, I used JB Weld to put a wing nut on a hardware store, wood screw. This means no longer having to use the T20 while laying on your back reaching up about 4-6" into the dash.
I also have an approach that solves laying on your back to access the dash which I'll share this weekend.
Bob Wilson