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The comparison isn't straightforward

Metabolic Regulation

Why do the lesions develop and then heal rather than persist indefinitely if high serum vitamin B 12 caused them to form? While it is interesting that one in ten healthy subjects injected with high dose vitamin B 12 developed acne, adds Eady, it is more significant that nine out of ten did not

Impact of Vitamin B12 on Bacteria: Vitamin B12 may influence how Cutibacterium acnes behaves on your skin

The benzyl alcohol inhibits bacterial growth, which means that a reconstituted vial can, in principle, be used across multiple doses over a period of days to weeks rather than being discarded after a single use as would be required with plain sterile water