  We extend Lipshitz-Sarkar's definition of a stable homotopy type associated
to a link L whose cohomology recovers the Khovanov cohomology of L. Given an
assignment c (called a coloring) of positive integer to each component of a
link L, we define a stable homotopy type X_col(L_c) whose cohomology recovers
the c-colored Khovanov cohomology of L. This goes via Rozansky's definition of
a categorified Jones-Wenzl projector P_n as an infinite torus braid on n
strands.
  We then observe that Cooper-Krushkal's explicit definition of P_2 also gives
rise to stable homotopy types of colored links (using the restricted palette
{1, 2}), and we show that these coincide with X_col. We use this equivalence to
compute the stable homotopy type of the (2,1)-colored Hopf link and the
2-colored trefoil. Finally, we discuss the Cooper-Krushkal projector P_3 and
make a conjecture of X_col(U_3) for U the unknot.
