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If the technicolor ωT particle exists, a likely decay mode is ωT→ γπT , followed by πT → bb̅, yielding the signature γbb̅. We have searched 85 pb-1 of data collected by the CDF experiment at the Fermilab Tevatron for events with a photon and two jets, where one of the jets must contain a secondary vertex implying the presence of a b quark. We find no excess of events above standard model expectations. We express the result as an exclusion region in the MωT -MπT mass plane.