ΔE 18.5, loose: different enough that you should pick on purpose. Gold Brown is noticeably darker, much more saturated than Amber Alchemy.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 19). Gold Brown is noticeably darker, much more saturated than Amber Alchemy.
The same difference applies the other way round: Amber Alchemy is noticeably lighter, much more muted.
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 Amber Alchemy on the colour wheel See Gold Brown on the colour wheel
All matches: Amber Alchemy equivalents · Gold Brown equivalents