We present updated cosmological constraints from measurements of the gas mass fractions ($f_{gas}$) of massive, dynamically relaxed galaxy clusters. Our new data set has greater leverage on models of dark energy, thanks to the addition of the Perseus Cluster at low redshifts, two new clusters at redshifts $z>0.97$, and significantly longer observations of four clusters at $0.6Comment: To be published in MNRAS. See https://github.com/abmantz/fgas-cosmo for code and https://github.com/abmantz/fgas-2021-paper for data presented in figures/tables