The clip I'm referring to is shown in the photo here, lying next to the regulator. I'm not sure if these are available separate from the regulator. I haven't found them yet using realoem. What's also very interesting to me is that I can't find any remnants of the original clip.

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2003 E53 3.0i
DOB 10/15/2002
Sienna red, Savannah Beige Dakota leather
Type FA53, Engine M54B30

2018 G02 30i
DOB 4/21/18
Black Sapphire Metallic / Canberra Beige Vermasca leather
Engine B46O