  We demonstrate the explicit realisation of the ultra-slow roll phase in the
framework of the effective field theory of single-field Galileon inflation. The
pulsar timing array (PTA) collaboration hints at the scalar-induced gravity
waves (SIGW) from the early universe as an explanation for the origin of the
observed signal, which, however, leads to an enhancement in the amplitude of
the scalar power spectrum giving rise to the overproduction of primordial black
holes (PBHs). In the setup under consideration, we examine the generation of
SIGW consistent with PTA (NANOGrav15 and EPTA) data, in addition to which we
also consider the impact from QCD crossover at the nHz frequencies and address
the PBH overproduction issue assuming linear approximations for the
over-density without incorporating non-Gaussian effects from the comoving
curvature perturbation. The framework is shown to give rise to SIGWs well
consistent with the PTA signal with comfortable PBH abundance, $10^{-3}
\lesssim f_{\rm PBH} < 1$, of near solar-mass black holes.
