This site names Vitamin B6 specifically for oil and pore balance — worth a standalone look at this one role, distinct from the site's existing combined B6-and-Pantothenic-Acid explainer.
Vitamin B6, as pyridoxine hydrochloride, is described as a metabolic regulator supporting balanced oil production, particularly in the T-zone, aimed at shine control and cleaner-looking pores — a distinct mechanism from Pantothenic Acid's separate hydration-barrier role.
This site separately lists "Balanced, shine-controlled skin" among its eight stated benefits, tied most directly to B6 — worth reading both together as this site's consistent B6-specific framing.