  We study a phase-tunable four-terminal Josephson junction formed in an InSbAs
two-dimensional electron gas proximitized by aluminum. By embedding the two
pairs of junction terminals in asymmetric DC SQUIDs we can control the
superconducting phase difference across each pair, thereby gaining information
about their current-phase relation. Using a current-bias line to locally
control the magnetic flux through one SQUID, we measure a nonlocal Josephson
effect, whereby the current-phase relation across two terminals in the junction
is strongly dependent on the superconducting phase difference across two
completely different terminals. In particular, each pair behaves as a
$\phi_0$-junction with a phase offset tuned by the phase difference across the
other junction terminals. Lastly, we demonstrate that the behavior of an array
of two-terminal junctions replicates most features of the current-phase
relation of different multiterminal junctions. This highlights that these
signatures alone are not sufficient evidence of true multiterminal Josephson
effects arising from hybridization of Andreev bound states in the junction.
