Now the whole pattern makes sense. For the first two weeks, the low dose lifts a little surface pigment and the spot looks lighter. You get hopeful. Then the bottle runs low, the surface turns over, and because the source was never touched, the spot rises right back to where it started.
So you blame yourself — you must have skipped days, picked the wrong product, have "difficult" skin. None of that is true. The serum did exactly what an underdosed serum does: a short tease, then a return. That's a formula failing, not your skin.