Black hole growth histories for the investigated objects. The shaded horizontal regions correspond to different black hole seeding channels: Pop III remnants (M_seed ≲ 10² M_⊙; gray), stellar dynamical processes (M_seed ∼ 10³ − 10⁴ M_⊙; cyan), and direct collapse (M_seed ∼ 10⁴ − 10⁶ M_⊙; orange). These seed mass ranges follow the classification described in Valiante et al. (2016). Parts of tracks with M_seed < 1 M_⊙ are shown in light gray, as such low masses are not expected to form black holes.