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Help the spaceship captain complete the official incident report after a ridiculous crew error.
_______________________________________ the self-destruct button for the espresso machine, we _________________________ floating in the cold vacuum of space right now.
The correct answers are Had the rookie not mistaken and would not be.
This is an advanced mixed conditional using inversion.
The first part refers to an unreal past event (the rookie did mistake the button), so we use the inverted past perfect: Had + subject + not + past participle. Note that the negative "not" must come after the subject in formal inversion.
The second part refers to the present result of that past mistake (we are floating right now), so we use would + be.