The link in the quote above provides helpful context to sort out the wiring of bi-xenons without AHL to bi-xenons with AHL (L&R lights sourced from a 2010 MINI on eBay) installed in an R58 (2015).
The rewiring was similar but not exactly as described in the thread link above -- the reason is I had the bi-xenon wiring already as well as wiring for the leveling sensors, headlight washers, and LED fog lights: the above example required extra steps to change over halogen lights to bi-xenons and to add these additional features.

• I only needed to disable the formerly dedicated vertical aim wires and reroute them as ground wires and the LIN_ALC wire by changing the pin designations in the new AHL-capable FRM module (as described in the link above). The new AHL-specific FRM3 module: 61-35-6-827-073

However, I wanted to retain the default black fascia used by MINI for the factory non-AHL bi-xenons,

• I used the black fascias from the non-AHL xenons.
• The back support frame of the donor AHL lights with the modules and motors were used, and the default chrome fascia with slightly different dimensions are for sale.
• The thinner, chrome Gatling Gun surrounds (allowed for the horizontal AHL motions) were harvested from the donor light, sanded, and painted black. The chrome "Bi-Xenon" label underneath the Xenon bulb (of the original black, non-AHL body) needed to be slightly trimmed in the left light so the bulb could articulate over a broader horizontal range of motion.

Yellow arrow: Bi-Xenon label; Purple arrow: Gatling Ring from donor AHL light