2016 Lexus IS

When I start my car, every once in a while it acts as if it is not getting enough gas and lags. In the colder months it seems to do this more often and sometimes will not start. When the weather is warmer it will sporadically do this. I have put a new battery in thinking it was weak and this could be the cause for it to not want to start, but it has done this at least 5 times within the month that the battery was replaced. My VIN is not showing a recall for the fuel pump like the other 2016 IS200t models, but I’m afraid that this is the recall problem. What should I do if my mechanic says it is the fuel pump? Will it get replaced under the recall?

Car keeps randomly dying out while driving sometimes it comes back on sometimes It has to pull over and start the car again has a lean code pretty sure its the fuel pump noticed they have a recall on other is200t for fuel pump issues believe mine should Definitely been part of the recall it's very dangerous when it dies on the highway