  We construct and study a lift of Jones-Wenzl projectors to the setting of
Khovanov spectra, and provide a realization of such lifted projectors via a
Cooper-Krushkal-like sequence of maps. We also give a polynomial action on the
3-strand spectral projector allowing a complete computation of the 3-colored
Khovanov spectrum of the unknot, proving a conjecture of Lobb-Orson-Sch\"{u}tz.
As a byproduct, we disprove a conjecture of Lawson-Lipshitz-Sarkar on the
topological Hochschild homology of tangle spectra.
