  Consider the restriction of the directed landscape $\mathcal L(x, s; y, t)$
to a set of the form $\{x_1, \dots, x_k\} \times \{s_0\} \times \mathbb R
\times \{t_0\}$. We show that on any such set, the directed landscape is given
by a last passage problem across $k$ locally Brownian functions. The $k$
functions in this last passage isometry are built from certain marginals of the
extended directed landscape. As applications of this construction, we show that
the Airy difference profile is locally absolutely continuous with respect to
Brownian local time, that the KPZ fixed point started from two narrow wedges
has a Brownian-Bessel decomposition around its cusp point, and that the
directed landscape is a function of its geodesic shapes.
