Doesn't appear to be in News and Events or Incoming Hails.
On 23c character that's completed the mission previously and received the rewards (doff, Lirpa, Val'reth title), have a Franklin Drake section under Incoming Hails, but only "Traelus System - Satellite Repair" mission - "Hearts and Minds" is conspicuous by its absence.
On Discovery character, don't even have a Incoming Hails section from Franklin Drake at all.
Someone forget to activate the event?
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https://www.arcgames.com/en/forums/startrekonline#/discussion/1251094/hearts-and-minds-not-found-lcars-404-error