  We present the leading colour and light fermionic planar two-loop corrections
for the production of two photons and a jet in the quark-antiquark and
quark-gluon channels. In particular, we compute the interference of the
two-loop amplitudes with the corresponding tree level ones, summed over colours
and polarisations. Our calculation uses the latest advancements in the
algorithms for integration-by-parts reduction and multivariate partial fraction
decomposition to produce compact and easy-to-use results. We have implemented
our results in an efficient C++ numerical code. We also provide their analytic
expressions in Mathematica format.
