  Context. We continued our ground-based observing project with the season-long
observations of ZZ Ceti stars at Konkoly Observatory. Our present targets are
the newly discovered PM J22299+3024, and the already known LP 119-10 variables.
LP 119-10 was also observed by the TESS (Transiting Exoplanet Survey Satellite)
space telescope in 120-second cadence mode.
  Methods. We performed standard Fourier analysis of the daily, weekly, and the
whole data sets, together with test data of different combinations of weekly
observations. We then performed asteroseismic fits utilising the observed and
the calculated pulsation periods. For the calculations of model grids necessary
for the fits, we applied the 2018 version of the White Dwarf Evolution Code.
  Results. We derived six possible pulsation modes for PM J22299+3024, and five
plus two TESS pulsation frequencies for LP 119-10. Note that further pulsation
frequencies may be present in the data sets, but we found their detection
ambiguous, so we omitted them from the final frequency list. Our asteroseismic
fits of PM J22299+3024 give 11 400 K and 0.46 Msun for the effective
temperature and the stellar mass. The temperature is ~800 K higher, while the
mass of the model star is exactly the same as it was earlier derived by
spectroscopy. Our model fits of LP~119-10 put the effective temperature in the
range of 11 800 - 11 900 K, which is again higher than the spectroscopic 11 290
K value, while our best model solutions give M* = 0.70 Msun mass for this
target, near to the spectroscopic value of 0.65 Msun, likewise in the case of
PM J22299+3024. The seismic distances of our best-fitting model stars agree
with the Gaia astrometric distances of PM J22299+3024 and LP 119-10 within the
errors, validating our model results.
