Rather extreme spoilers:
No, I'm serious, this will give away basically Tate's entire route:
That's where he has the whole naming thing (where apparently, you can't actually tell him "Tate" or "Tate Foster", and have to wait for Scribbles to tell you).
My exact choices were (Once you've selected Tate's route): "No time to waste", "You're innocent", "Yes", "No Way", "Nope nope" (Though this may or may not have an effect because you'll still be a virgin outside of orally), "Go with the cat", "Take a look around", "I absolutely mean it", "Could be handy",
(The one asking about each character and then with the food has no impact, but for the record I usually ask about all 3 people and pick "cereal with milk", "eggs and bacon", and "fruit", then "that's it"),
"Hell nah", "Yes (Truth)" (This has no effect whatsoever on the game), "Let Tate know", Any of the Never Have I Ever options though I usually pick "Fancied a friend's parent", Pick all three names in the looking ball (No effect), "Lovingly" (Though it probably has no effect),
At this point, nothing ultimately seems to impact getting the scene: No matter what choices, it eventually happens. Ask the two all the questions on screen about their clan/tribe(?), depending on personal choice either "Go Gathering" or "Stay in camp". You're knocked out anyways, but I typically choose to go with the group, and then say "I can't do this..." allowing you to stay a virgin, like you said you would to Tate. In the scene you're trying to unlock, he'll ask if you're still a virgin, but only on this route. Either saying "No" or "Yes" has the same effect.