  Confirming and extending a conjecture by Guggiari, we show that every
countable $(r+1)$-edge-coloured complete symmetric digraph containing no
directed paths of edge-length $\ell_i$ for any colour $i\leq r$ can be covered
by $\prod_{i\leq r} \ell_i$ pairwise disjoint monochromatic directed paths in
colour $r+1$.
