  Extragalactic fast X-ray transients (FXTs) are short flashes of X-ray photons
of unknown origin that last a few minutes to hours. We extend the search for
extragalactic FXTs from Quirola et al. 2022 (Paper I; based on sources in the
Chandra Source Catalog 2.0, CSC2) to further Chandra archival data between
2014-2022. We extract X-ray data using a method similar to that employed by
CSC2 and apply identical search criteria as in Paper I. We report the detection
of eight FXT candidates, with peak 0.3-10 keV fluxes between
1$\times$10$^{-13}$ to 1$\times$10$^{-11}$ erg cm$^{-2}$ s$^{-1}$ and $T_{90}$
values from 0.3 to 12.1 ks. This sample of FXTs has likely redshifts between
0.7 to 1.8. Three FXT candidates exhibit light curves with a plateau
(${\approx}$1-3 ks duration) followed by a power-law decay and X-ray spectral
softening, similar to what was observed for a few previously reported FXTs in
Paper I. In light of the new, expanded source lists (eight FXTs with known
redshifts from Paper I and this work), we update the event sky rates derived in
Paper I, finding 36.9$_{-8.3}^{+9.7}$ deg$^{-2}$ yr$^{-1}$ for the
extragalactic samples for a limiting flux of ${\gtrsim}$1${\times}$10$^{-13}$
erg cm$^{-2}$ s$^{-1}$, calculate the first FXT X-ray luminosity function, and
compare the volumetric density rate between FXTs and other transient classes.
Our latest Chandra-detected extragalactic FXT candidates boost the total
Chandra sample by $\sim$50 %, and appear to have a similar diversity of
possible progenitors.
