  We study the ground state properties of the hole-doped three-band Hubbard
(Emery) model, describing the copper-oxygen planes of the cuprates, using
large-scale 2D tensor network calculations. Our simulations reveal a period 4
stripe state with spin and weak charge order over an extended doping range
beyond $\delta\sim0.12$ and stripes with larger periods at smaller doping. The
period 4 stripe exhibits coexisting $d$-wave superconductivity in the doping
range $0.15 \lesssim \delta < 0.25$, while at smaller doping around $\delta
\sim 1/8$ we find a strong competition between superconducting and
non-superconducting stripes, including also pair density-wave states with
alternating sign structure on neighboring stripes, suggesting that the fate of
superconductivity around 1/8 doping may be sensitive on the model parameters.
