ΔE 21.9, loose: different enough that you should pick on purpose. Amber Alchemy is noticeably lighter, cooler than Castellax Bronze.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 22). Amber Alchemy is noticeably lighter, cooler than Castellax Bronze.
The same difference applies the other way round: Castellax Bronze is noticeably darker, 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 Castellax Bronze on the colour wheel See Amber Alchemy on the colour wheel
All matches: Castellax Bronze equivalents · Amber Alchemy equivalents