ΔE 23.6, loose: different enough that you should pick on purpose. Mahogany Ink is noticeably lighter, more muted, cooler than Brown Beast Ink.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 24). Mahogany Ink is noticeably lighter, more muted, cooler than Brown Beast Ink.
The same difference applies the other way round: Brown Beast Ink is noticeably darker, more saturated, warmer.
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 Brown Beast Ink on the colour wheel See Mahogany Ink on the colour wheel
All matches: Brown Beast Ink equivalents · Mahogany Ink equivalents