Argh, the more I look at this panel the more things wrong I find.
If you look at the set of conductors coming in the top right of the panel. The farthest left one in the front looks more modern than the rest. It has a red and a black conductor. If I am not mistaken, this is a multi-wire branch circuit (shared neutral) with both hot conductors landing on a single tandem breaker which only provides one phase leg to both circuits. So basically you could overload that neutral wire and not have the breakers trip.
I also have serious questions about all the aluminum wires landing on that neutral/ground bus. It looks like a bunch are shoved into a single termination screw?
This needs a serious professional to look at and provide solid advice. Aluminum wiring is nothing to mess with (but properly remediated it may be fine).
Be careful!
P.S. I would love to see a picture of your outside meter and drop line, etc... fwiw, generally you are only responsible up to the meter / weatherhead. Beyond that the power company has responsibility to upgrade if you decide to go to 200a service.
Some more notes:
Starting with the double red handle breaker. The conductors are a lot larger than I would expect for such small amperage circuits. This is fine, but odd. Also, that is perhaps being used as a shared neutral circuit so that is odd. Normally this could overload the neutral, but is suspect that wire is so overkill capacity wise that this may not be an issue? I wonder how the rest of the circuit is wired...
The bottom left circle you can see a couple disconnected high amp cables. I take it the house used to have an electric dryer or water heater that is no longer? (which freed up a spot for the Tesla receptacle)
Then to the right of that I am unsure what the big bare aluminum wire is that is just hanging out disconnected?
And there is some odd terminal lug hanging out at the bottom of the panel. Not an issue, but I am just curious what it is.
On the bottom right hand breaker is where I am concerned about the shared. Neutral wire across two circuits that are not on different phase legs. This is not hard to correct, but it was just done totally wrong.
Then at the upper right is where I am concerned that too many wires are being shoved under one screw terminal. There are specifications / limits on this on a per panel basis usually.
It would be nice to have more clear pictures of the breakers themselves. While likely not a practical issue, I wonder if all those various breakers are rated for use in that panel model. I would like to see any other stickers in the panel too (the door especially) to see what other details it has. I am wondering what awg the wire is coming in to feed then panel. Likely it is 100a rated.