Engine Stall problems of the 2019 Toyota Camry

I purchased the vehicle from a dealer in June of 2020 and was unaware of any ongoing recalls or that any required service had not been completed. I've had the vehicle in the shop multiple times for engine stalling while driving, engine shaking, misfiring, and loss of forward momentum. Not once did they tell me about the recall or that Toyota was aware of the problem until I took the vehicle to a different automotive shop. The new shop gave me all the recall information and advised that the vehicle is not safe to drive. The engine will sputter and shake in idle and in reverse. Consistently the vehicle shakes and runs very rough when in idle, reverse or attempting to accelerate from stop lights, red lights, parking lots, etc. Dealership told me that I wasn't used to the electronic fuel ignition and that the sputtering and delay in forward momentum was normal. One time I was driving 65mph and the vehicle stalled while on a island causeway. Luckily I was in the right had lane and was able to get off the road safely. Another time the vehicle stalled was in a parking lot (again slow speed) and again in reverse. The vehicle did sustain rodent damage to wiring on 2 occasions which the dealership repaired, noted the multiple engine misfires and "cleared the codes". The vehicle ran better for about a week and then the same problem begins reoccurring. The spark plugs continue to foul due to the engine fuel pressure issue.

On multiple occasions (about 3-4 times a week) when starting my vehicle the engine stalls and I have to retry at least twice for my car to start. At red lights the vehicle lags and takes a moment to pick up speed. Often in a jerking motion. When accelerating to speeds above 20-80 mph the stalling starts again and does not feel safe while driving. We notified our dealership about the issue when getting serviced and they stated they could not provide any information on why it was doing this. We have had this problem since December 2019 and has progressively gotten worse. Once we received the notification about the fuel pump recall we requested for the dealership to take our car in for the recall fuel pump and they refused to take our car and advised us to go to other Toyota/ Lexus dealerships. The other Toyota/Lexus dealerships told us to go back to the original dealership were we get are car serviced at have them take our car in for service. When we went to the original Toyota dealership where we purchased our car from, they still refused to provide a rental since we explained them how unsafe the car is while driving. We have tried emailing and do not get any responses. We also tried calling to speak with the manager but none of the managers have taken our calls or tried to call us back.

Engine stalling, as if fuel pump not working properly, when vehicle is in motion on city streets and highway.