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$BP$-Adams Novikov Spectral Sequence or Homotopy groups of $S/3$

What is know about the homotopy groups of $S/3$ where $S/3 = \mathrm{hocofib}(S \xrightarrow{\cdot 3} S)$? Otherwise, is there some reference I can consult for the $BP$-ANSS for $S/3$?
Jordan Levin's user avatar