I Literally made an account, specifically to reply to this post, so I hope you see this.
I would say if you’re attempting to play with your reader’s minds, then it would be best to keep the mystery a surprise for the end.
I would also suggest, leaving a few very small hints of things that seem out of place, but not drawing any real attention to them, hiding the ground work for the real story, in plain sight.
If you do it like that, you can wrap up the first chapter as a fun, false start, for the mystery at hand.