ΔE 25.4, loose: different enough that you should pick on purpose. Azurite Hue is noticeably darker, warmer than Baharroth Blue.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 25). Azurite Hue is noticeably darker, warmer than Baharroth Blue.
The same difference applies the other way round: Baharroth Blue is noticeably lighter, 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 Baharroth Blue on the colour wheel See Azurite Hue on the colour wheel
All matches: Baharroth Blue equivalents · Azurite Hue equivalents