I also installed my Tesla Wall Connector before my car arrived. If you've already set the amperage on your WC and updated the firmware, then that is the last step and you are good. The car's setup process will be meaningful once your car arrives.
Your next steps are:
1. Push/hold the little round button on the WC handle for a few seconds. This will tell your car to open its charge port. Then plug it in.
2. tell your car what level to charge to. Typically 80% unless you are going on a long trip. This will help maintain the battery life.
3. tell your car if you want it to start charging "now", or at a specific time (e.g. 10pm; if you have time-based power billing), or to conclude before you leave tomorrow morning (e.g. 7am).
4. The next morning, the car has to be unlocked to remove the WC handle. Otherwise it stays locked in place.
My brother asked me the classic gas-station ICE question if the Tesla will drive away if the WC handle is still plugged in. I assume that it is smart enough not to, but I haven't tested this...
Also, there is a Wall Connector thread which you might find helpful:
Scott
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MYLR | Red ext | White int | 19" | 5 seats | tow | no FSD | made/delivered Oct 2021