  We present a new parametric lens model for the massive galaxy cluster
Abell~2744 based on the new ultra-deep JWST imaging taken in the framework of
the UNCOVER program. These observations constitute the deepest JWST images of a
lensing cluster to date, adding to the existing deep Hubble Space Telescope
(HST) images and the recent JWST ERS and DDT data taken for this field. The
wide field-of-view of UNCOVER ($\sim45$ arcmin$^2$) extends beyond the
cluster's well-studied central core and reveals a spectacular wealth of
prominent lensed features around two massive cluster sub-structures in the
north and north-west, where no multiple images were previously known. The 75
newly uncovered multiple images and candidates of 16 sources allow us, for the
first time, to constrain the lensing properties and total mass distribution
around these extended cluster structures using strong lensing (SL). Our model
yields an effective Einstein radius of $\theta_{E,\mathrm{main}}\simeq23''$ for
the main cluster core (for $z_{\mathrm{s}}=2$), enclosing a mass of
$M(\theta<\theta_{E,\mathrm{main}})\simeq7.7\times10^{13}$ M$_{\odot}$, and
$\theta_{E,\mathrm{NW}}\simeq13''$ for the newly discovered north-western SL
structure enclosing $M(\theta<\theta_{E,\mathrm{NW}})\simeq2.2\times10^{13}$
M$_{\odot}$. The northern clump is somewhat less massive with
$\theta_{E,\mathrm{N}}\simeq7''$ enclosing
$M(\theta<\theta_{E,\mathrm{N}})\simeq8\times10^{12}$ M$_{\odot}$. We find the
northern sub-structures of Abell~2744 to broadly agree with the findings from
weak lensing (WL) and align with the filamentary structure found by these
previous studies. Our model in particular reveals a large area of high
magnifications between the various cluster structures, which will be paramount
for lensed galaxy studies in the UNCOVER field. The model is made publicly
available to accompany the first UNCOVER data release.
