Today, letting a couple use the stable would be a major violation of code. Owner could be shut down entirely, fined, license pulled. Child protective services would step in too...
The First Century Middle Eastern “inn” was actually a “caravanserai” which housed the animals on the ground floor, and the human guests on the second. There are ruins of these “inns” in the Middle East to this day, most notably in the Israeli city of Akko (Acre).
If this was the type of inn, then Mary and Joseph would still be sheltered, albeit not on the second floor.
Tradition holds that the “stable” was actually a cave, of which there are many in Bethlehem. The one beneath the Church of the Nativity in Bethlehem is generally believed to be the actual spot, by nearly all branches of Christianity.
However, even the craftsmen in Bethlehem itself, when designing creches for the touring public, depict the “stable” as a peaked roof wooden structure more resembling Medieval Europe than First Century Judea.
And that’s OK. The important thing is that Christ is born in Bethlehem, Glory to God in the Highest!
Neither - the Lamb of God had to be born in a stable.