  The gravitational lens system PS J0147+4630 (Andromeda's Parachute) consists
of four quasar images ABCD and a lensing galaxy. We obtained $r$-band light
curves of ABCD in the 2017$-$2022 period from monitoring with two 2-m class
telescopes. Applying state-of-the-art curve shifting algorithms to these light
curves led to measurements of time delays between images, and the three
independent delays relative to image D are accurate enough to be used in
cosmological studies (uncertainty of about 4%): $\Delta t_{\rm{AD}}$ = $-$170.5
$\pm$ 7.0, $\Delta t_{\rm{BD}}$ = $-$170.4 $\pm$ 6.0, and $\Delta t_{\rm{CD}}$
= $-$177.0 $\pm$ 6.5 d, where image D is trailing all the other images. Our
finely sampled light curves and some additional fluxes in the years 2010$-$2013
also demonstrated the presence of significant microlensing variations. From the
measured delays relative to image D and typical values of the external
convergence, recent lens mass models yielded a Hubble constant that is in clear
disagreement with currently accepted values around 70 km s$^{-1}$ Mpc$^{-1}$.
We discuss how to account for a standard value of the Hubble constant without
invoking the presence of an extraordinary high external convergence.
