For me, this is a case where the problem too easily just happened to have a solution that could come over inside a commercial break with ne meaningful time passing. If they said days have passed between calling Doug and him showing up, fine. Here it's just "Doug can help!" and he's just there... In space.
I struggle to think of a similiar occurance in Trek where I just accepted such contrivance.
Isn’t Doug on the planet they’re orbiting?
It's said he's "nearby." If he's on the planet they're around (along with Kirk) that's even more contrived. It's how I feel. I agree to disagree with you and do not wish to battle any further. (You seem quick to jump on me.)
The bit at the beginning about Una not wanting to take shore leave was because Doug lived there. at least heavily implied.
I do love the line in TWOK now that we know the Star Trek quadrant designations. "But we're the only ship in the quadrant" to deal with investigating the mystery at Regula One. Whether Alpha or Beta, THE ONLY SHIP IN EITHER QUADRANT THE FEDERATION OCCUPIES? Wow. Starfleet is like that really bad football team that leaves huge gaps in its defense and loses games 49 to 7.
I like to think one of the smaller dividers is also quadrants, below sector or something