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If you look at the chart, the inhabited star is not "Mintaka" the eastern most star in the belt, but a smaller star further east.
"Mintaka" is being used roughly as a landmark to get an understanding from our perspective where this smaller, more habitable star may be.
*Edit* I believe I found the star
HIP25905 is a 5762 Kelvin star that is about 1.2 times the size of our Sun. Its about 50% brighter than our sun. To compare, our sun is 5777 Kelvin "surface". HIP25905 has a class of G5 V, our Sun is a G2 V class star. It also happens to only be 124 light years away, roughly.