Al-Mg mineral isochron studies using secondary ion mass spectrometry (SIMS) have revealed the initial Al-26/Al-27 ratios, (Al-26/Al-27)(0), for individual Ca-Al-rich inclusions (CAIs) in meteorites. We find that the relative sensitivity factors of Al-27/Mg-24 ratio for SIMS analysis of hibonite, one of the major constituent minerals of CAIs, exhibit variations based on their chemical compositions. This underscores the critical need for using appropriate hibonite standards to obtain accurate Al-Mg data. We measured the Al-Mg mineral isochron for hibonite in a fine-grained CAI (FGI) from the Northwest Africa 8613 reduced CV chondrite by SIMS using synthesized hibonite standards with Al-27/Mg-24 of similar to 30, similar to 100, and similar to 400. The obtained mineral isochron of hibonite in the FGI yields (Al-26/Al-27)(0) of (4.73 +/- 0.09) x 10(-5), which is identical to that previously obtained from the mineral isochron of spinel and melilite in the same FGI (Kawasaki et al., 2020). The uncertainties of (Al-26/Al-27)(0) indicate that the constituent minerals in the FGI formed within similar to 0.02 Myr in the earliest solar system. The disequilibrium O-isotope distributions of the minerals in the FGI suggest that the O-isotope compositions of the nebular gas from which they condensed underwent a transitional change from O-16-rich to O-16-poor within similar to 0.02 Myr in the earliest solar system. Once formed, the FGI may have been removed from the forming region within similar to 0.02 Myr and transported to the accretion region of the parent body.