There have been various mixes and matches of the first four Star Trek series, or stories where events somehow connected to all four. But IDW is going all in and having them all show up in the same place! Of course Q is involved. Conspicuous by their absence however is the prequel Enterprise, which unlike Discovery is clearly in the same continuity even if it doesn’t always feel like it. I guess Q was willing to put up with Janeway again (and possibly get punched by Sisko again) but even he draws the line at Captain Archer.
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