My vehicle received the Full Self Driving Beta (FSD-B) update Software Version 2022.20.17. I took the vehicle for a ride near my office in The Heights area of Houston, Texas, and when stopped in traffic at a red light briefly placed the vehicle into park to engage the FSD-B via the touchscreen. When I engaged Autopilot with the FSD-B active, the vehicle made a right turn from the MIDDLE lane of the roadway which had just opened into three lanes a short number of feet beforehand crashing into another vehicle causing damage to both vehicles and injury to my hand. It appears the Full Self Driving Computer failed to recognize that the roadway had just changed from two to three lanes whereas there were not vehicles in the third lane until the moment my Tesla Model 3 turned suddenly and aggressively. Had it been less than a second earlier, my vehicle would have been fully into the turn and the accident likely of a catastrophic "T-Bone" nature. The manner in which the computer turned the wheel was especially shocking. I am accustomed to Autopilot having used the system for several years, but not with the vehicle making full-turn maneuvers as is the case with the new FSD-B software. I was holding the wheel firmly close to the "six and nine" positions and beneath the "V" areas of the steering wheel. The wheel turned so aggressively and suddenly that there was no possible way to counter the maneuver and soft-tissue injury occurred to may hand requiring prescribing of steroids t