  We report the discovery of COOL J0335$-$1927, a quasar at z = 3.27 lensed
into three images with a maximum separation of 23.3" by a galaxy cluster at z =
0.4178. To date this is the highest redshift wide-separation lensed quasar
known. In addition, COOL J0335$-$1927 shows several strong intervening
absorbers visible in the spectra of all three quasar images with varying
equivalent width. The quasar also shows mini-broad line absorption. We
construct a parametric strong gravitational lens model using ground-based
imaging, constrained by the redshift and positions of the quasar images as well
as the positions of three other multiply-imaged background galaxies. Using our
best-fit lens model, we calculate the predicted time delays between the three
quasar images to be $\Delta$t$_{AB}=$ $499^{+141}_{-146}$ (stat) and
$\Delta$t$_{AC}=$ $-127^{+83}_{-17}$ (stat) days. Folding in systematic
uncertainties, the model-predicted time delays are within the ranges $240 <
\Delta$t$_{AB} < 700$ and $-300 < \Delta$ t$_{AC} <-30$. We also present g-band
photometry from archival DECaLS and Pan-STARRS imaging, and new multi-epoch
observations obtained between September 18, 2022 UT and February 22, 2023 UT,
which demonstrate significant variability in the quasar and which will
eventually enable a measurement of the time delay between the three quasar
images. The currently available light curves are consistent with the
model-predicted time delays. This is the fifth paper from the COOL-LAMPS
collaboration.
