Is Wudu accepted if I wash more than 3 times

As Salaam u Alaikum, My question is in regards to wudu validity. Whenever I make wudu, I usually wash the body parts that need to be washed more than 3 times. The reason for this is because I was told from a young age that you have to have water cover every part of the body part that you are washing. But when I wash a body part 3 times, I feel as though there are some parts that haven't been covered by water, so I proceed to wash it more than 3 times. I just recently found out that washing a body part more than 3 times intentionally is not allowed as the Prophet(pbuh) never did so. So my question is, is my wudu still valid if I wash body parts more than 3 times? And will be prayer be accepted if I pray with that wudu? If my prayer is not accepted, then do I have to now make up all the prayers I made with that wudu in the past? Also since I can't wash more than 3 times, what am I supposed to do if after washing 3 times, there is still some small spot that wasn't washed? Jazakallah, As Salaam u Alaikum