Do u think my car is damaged &How soon would I know?wat signs should I look for?

What is your question?

I wanted to get a personal opinion about a situation that happened 2 days ago. I took my car to get maintenance work done at a dealership, and when I was pulling out of the driveway I noticed white smoke coming out of the exhaust. I pulled over and called the dealership. They sent a technician to come inspect it since I was just around the corner. He said it was due to the oil being overfilled and that they needed to get the car in the shop. He said it was safe to drive since it was just around the corner. I drove for maybe 4 min and felt the car start jerking when I tried to accelerate. I told all this to the dealership and they said they wanted to check the car to see what was going on. They then came back and said they took out the oil it had and filled it again. That they ran a health summary and it passed. I’m not even sure what that is. Now that I am more calm, I decided to look online and see if what I was told was true. I’m worried now that is or will be messed up.