ΔE 15.2, loose: different enough that you should pick on purpose. Mahogany is a little darker, more muted, warmer than Mulled Berry.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 15). Mahogany is a little darker, more muted, warmer than Mulled Berry.
The same difference applies the other way round: Mulled Berry is a little lighter, more saturated, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Mulled Berry on the colour wheel See Mahogany on the colour wheel
All matches: Mulled Berry equivalents · Mahogany equivalents