I count up 290Amp at 240V worth of breakers in that panel. The single 15s count for 1/2, while any double, 15, 30, 40, etc count at full size.
If you really have a 100 amp main breaker (2x 100amp, one on each HOT leg), you may not have enough capacity to put much in for charging.
There are a few questions/options. Get a decent electrician in to do a load analysis, including properly setting up a recording amp meter on the mains, and getting days/weeks worth of data.
Sizing upgrading to a 200amp panel and service (probably not cheap, but not too expensive either). This would be more of an investment in the house, depending on what you may want to install in the future (hot tub, etc).
Based on the labels, the largest breakers are:
left, 29/31, 40amp - lower stove
left, 25/27, 30amp - Air Conditioner
right, 26/28, 40amp - upper stove
right, 20/22, 30amp - Dryer
Each of these can burst to near the full load, but really should not draw a load beyond 80% of the breaker for a long time, and even that would be unusual, considering your not tripping your main right now, we can safely assume they are not all pegged at 80%, as that would be 112amps by itself.
The 4 15amp 240v confuse me a bit, as they are labeled for "plugs" mostly, but that would normally be 120v in the US and Canada.
So for the load analysis, you can figure if you will be charging your car, when your also cooking in both upper and lower stove, drying a load of laundry, and have the air conditioner running. The load analysis may let you install a 30amp breaker and 30amp outlet (14-30R), which would draw at most 24 amps for the car. I can't see being able to fit a 40 (Canada) or 50 amp breaker for an 14-50R outlet, and charging at 32/40 amps.
You could also consider getting a dryer buddy, and have it setup so you can either charge or use the dryer, but not both at the same time, which would also let you charge at 24 amps, and would do well. This would probably be cheaper, depending on locations, but less of an investment in the house as a 200 amp service upgrade, or even a dedicated 14-30R
-Harry