Which specific process determines where consciousness will alight?
Here seems to be the answer, according to the following sutta:
SN 12,38 - Cetanā Sutta

At Savatthī. “Bhikkhus, what one intends, and what one plans, and whatever one has a tendency towards: this becomes a basis for the maintenance of consciousness. When there is a basis there is a support for the establishing of consciousness. When consciousness is established and has come to growth, there is the production of future renewed existence. When there is the production of future renewed existence, future birth, aging-and-death, sorrow, lamentation, pain, displeasure, and despair come to be. Such is the origin of this whole mass of suffering.
“If, bhikkhus, one does not intend, and one does not plan, but one still has a tendency towards something, this becomes a basis for the maintenance of consciousness. When there is a basis, there is a support for the establishing of consciousness…. Such is the origin of this whole mass of suffering.
“But, bhikkhus, when one does not intend, and one does not plan, and one does not have a tendency towards anything, no basis exists for the maintenance of consciousness. When there is no basis, there is no support for the establishing of consciousness. When consciousness is unestablished and does not come to growth, there is no production of future renewed existence. When there is no production of future renewed existence, future birth, aging-and-death, sorrow, lamentation, pain, displeasure, and despair cease. Such is the cessation of this whole mass of suffering.”

Also, in AN 3,77 - Dutiyabhava Sutta

&quot;Thus kamma is the field, consciousness the seed, and craving the moisture. The intention &amp; aspiration of living beings hindered by ignorance &amp; fettered by craving is established in/tuned to a lower property. Thus there is the production of renewed becoming in the future.&quot;

Thanks to everyone for your answers so far. I'd appreciate any other answer!
Kind regards!