At the 3PN order (taking into account the tails of tails), we find that
does not completely cancel out after the
replacement of
by the right-hand side of Eq. (94). The reason is that the moment
also depends on
at the 3PN
order. Considering also the latter dependence we can check that the 3PN radiative moment
is actually free of the
unphysical constant
.