Same as Fig. 3 but for BH-1049 and its host galaxy. This system has a much more complex evolution than BH-G9685 and BH-166 as the host galaxy is passing by two successive phases of cosmic gas accretion with a retrograde rotation with respect to the galactic disk. We illustrate here the first phase: ① Due to a cosmic inflow of gas, there is the coexistence of two disks of gas rotating in opposite direction. The central and original one (dark blue) is progressively disappearing and replacing by the new disk (light blue) from the outer parts. All the spins are still aligned. ② Once the original disk has completely disappeared, The spin of the accreted gas (red) flips to follow the rotation of the newly formed disk. This latter one is counter-rotating with respect to the stellar component. The BH is still aligned with the spin of the galaxy. ③ After some time, the BH aligns with the spin of the gas accretion disk and becomes anti-aligned with the galaxy spin. We note that a new episode of (retrograde) cosmic gas accretion is already in progress and will repeat the same scenario.