The possibility of the resilience of the beginning of inflation under
unfavorable conditions is examined by considering the initial state of the
inflaton field to be in the form of a relativistic gas with some of its
properties in close proximity to the black body spectrum. It is demonstrated
that the initial potential energy budget in such an environment is suppressed
beyond the minimal value required for inflation. This is the extension of our
earlier work, where we have shown that the rare regions which happen to host
favorable initial conditions for the beginning of inflation could come to
dominate the late-time Universe only if they started out from above the
so-called self-reproduction threshold.