Does not realizing the beginning of the circumambulation (Tawaf) on the upper floor and imitating others affect the validity of Hajj?

There is no specific intention required for Tawaf or Sa'i; rather, the general intention for Hajj or Umrah at the time of assuming Ihram is sufficient. For acts of worship that consist of multiple actions, the intention at the beginning of the act is enough, and there is no need for a new intention for each subsequent action, as the initial intention extends to cover them all, similar to prayer and ablution. Al-Suyuti mentioned that Hajj does not require a separate intention for Tawaf, Sa'i, and standing (at Arafat), which is the most correct opinion. This view was supported by Al-Shinqiti and Ibn Uthaymeen, as the general intention for the ritual encompasses all its parts, just as the intention for prayer includes all its components like bowing and prostrating. This opinion is the most apparent and correct according to the majority of scholars, and it offers ease and convenience for people. Based on this, the Tawaf is valid, and doubts that arise after completing an act of worship are not to be entertained.