Are you guys sure? Because I don’t see the similarity. Not with Pike’s quarters, not with Spock’s and not with the generic “Training quarters”. In fact, the angle on the outer ship wall is the exact opposite, not to mention the windows looking completely different. And really, everything else.
And really, it wouldn’t make much sense to use the standing sets of another show that was still being filmed then for a set you’ll likely see pretty often on
Starfleet Academy.
And what was the other ship that reused the shuttle set?
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