I have been looking for this for so long. I have no idea if it was twilight zone or something else. But i remember how weird and errie it was. There was also a scene where the guy and girl have a romantic swim and they garden togeather? Also part of the condition of staying is that they can stay in it but cant leave or check their phones or they have to leave.
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It was more of a modern show but had that eerie feeling of twilight zone
Could it maybe be the movie The One I Love (2014)?
There is a twilight zone episode called sanctuary similar to your description.