With the velocity vector and temperature of the pristine interstellar neutral
(ISN) He recently obtained with high precision from a coordinated analysis
summarized by McComas et al.2015b, we analyzed the IBEX observations of neutral
He left out from this analysis. These observations were collected during the
ISN observation seasons 2010---2014 and cover the region in the Earth's orbit
where the Warm Breeze persists. We used the same simulation model and a very
similar parameter fitting method to that used for the analysis of ISN He. We
approximated the parent population of the Warm Breeze in front of the
heliosphere with a homogeneous Maxwell-Boltzmann distribution function and
found a temperature of $\sim 9\,500$ K, an inflow speed of 11.3 km s$^{-1}$,
and an inflow longitude and latitude in the J2000 ecliptic coordinates
$251.6^\circ$, $12.0^\circ$. The abundance of the Warm Breeze relative to the
interstellar neutral He is 5.7\% and the Mach number is 1.97. The newly found
inflow direction of the Warm Breeze, the inflow directions of ISN H and ISN He,
and the direction to the center of IBEX Ribbon are almost perfectly co-planar,
and this plane coincides within relatively narrow statistical uncertainties
with the plane fitted only to the inflow directions of ISN He, ISN H, and the
Warm Breeze. This co-planarity lends support to the hypothesis that the Warm
Breeze is the secondary population of ISN He and that the center of the Ribbon
coincides with the direction of the local interstellar magnetic field. The
common plane for the direction of inflow of ISN gas, ISN H, the Warm Breeze,
and the local interstellar magnetic field %includes the Sun and is given by the
normal direction: ecliptic longitude $349.7^\circ \pm 0.6^\circ$ and latitude
$35.7^\circ \pm 0.6^\circ$ in the J2000 coordinates, with the correlation
coefficient of 0.85.