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 ≲ fPBH < 1, of near solar-mass
black holes.