If the addition is intended to be part of another tawaaf...
If the addition is intended to be part of another tawaaf which per chance was not completed, there is neither addition nor connection but the tawaaf is none the less invalid as it lacks the intention of attaining nearness to Allah.
Similar will be the case if the pilgrim intends at the commencement or in the course of the tawaaf to make an addition knowing of the invalidity of the connection between the two tawaafs as there would be no certainty of the intention to obtain nearness, even if the connection does not materialise out of accident.
Rule 311: If a pilgrim makes addition to his tawaaf by oversight, then if he remembers after reaching the Iraqi corner he must complete that addition as a complete tawaaf with the intention of attaining nearness to Allah,…