I don't think the Tardis having an obscene amount of space breaks the game, so I would allow it. Instead, I would limit the amount of people allowed to go inside so it doesn't become a situation where everyone can just hide in the Tardis if disaster strikes. Probably a maximum of a dozen people? Enough for a party!
That actually sounds good because you bring up a point we don't know about in canon - how many would she want inside of her, even if she has infinite space. So, I think we can fudge that :)
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Hope to see your telephone box soon!
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