They might let you in a couple minutes before 4 whenever they are ready to open the gates, but for a 3:40 reservation, you'd have to be in the gates by about 3:15, and I really don't see that happening.
On some party days, they get ready early and open the gates at 3:45. (No guarantees.)
However-
If you have a 3:40 ADR and you arrive by 4:10, or so, you will very likely get to be seated, even if you must wait a bit for a table.
Not sure but I have heard you can get in on your ticket to MNSSP at 3:50 . J think you can get to your adr a little late.I have been 15 minutes late to adr and they still honored it, was seated within 5 minutes. Just two in our party though DW and I.
I would just go in as soon as they let you (hopefully by 4) and show up late for the ADR. I am sure they will seat you, you just might have a little wait. People show up late all the time for ADR's.
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