  Metallic anti-ThCr$_2$Si$_2$-type $RE_2$O$_2$Bi ($RE$ = rare earth) with Bi
square nets show superconductivity while insulating La$_2$O$_2$Bi shows high
hole mobility, by expanding the c-axis length through oxygen intercalation. In
this study, alkaline earth metal oxides (CaO, SrO, and BaO) were co-sintered
with La$_2$O$_2$Bi. CaO and BaO served as oxygen intercalants without
incorporation of Ca and Ba in La$_2$O$_2$Bi. On the other hand, SrO served as
not only oxygen intercalant but also hole dopant via Sr substitution with La in
La$_2$O$_2$Bi. The oxygen intercalation and hole doping resulted in expansion
of the c-axis length, contributing to improved electrical conduction. In
addition, the hole mobility was enhanced up to 150 cm$^2$V$^{-1}$s$^{-1}$ in
La$_2$O$_2$Bi, which almost doubles the mobility in previous study.
