All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad, sallallahu ʻalayhi wa sallam, is His slave and Messenger.
First of all, we would like to point out the danger of Waswaas, and we advise you to ignore it completely. Also, you should know that washing the hands at the beginning of ablution is an act of the Sunnah, so if you did not wash your hands then, your ablution is still valid. Ibn Qudaamah said, “Washing the hands at the beginning of ablution is a recommended act in general.” [Al-Mughni]
Hence, going into details in this way is considered immoderation and overburdening yourself unnecessarily, which are dispraised in the Shariah. What matters is to wash the hands three times in any manner.
Allah knows best.