Production time is about 3 days. Delivery time is variable. Your sales contact at Tesla will be the best source of information for you. Since I had a >2 week trip planned at the time of my anticipated delivery, my delivery specialist was able to move my delivery date up to the day before I left. The only way he could have done that was to have been able to track the car in transit. My car was delivered to Atlanta. My total time from going final to delivery was 30 days. At that time Tesla was listing delivery times for an S of 30 days. I don't think they still do that. On the positive side, with the much greater volume of 3s being delivered there should be a more frequent spots available in the delivery system.
The wait can be agonizing, it is worth it, though. In the mean time I would be inclined to look for a dealer that installs Xpel and plan to have the front surfaces covered. That doesn't cost that much. My first paint chip was on the front bumper on the 90 minute drive home from delivery. I had it installed as soon as I could. In the year since having the Xpel, no more paint chips.
You'll love the car.