I'd be shocked if you haven't tried convincing your wife of the truth yet--y'know, telling her that you're in a time loop, and using knowledge of the previous versions of the conversation to say what she's gonna say before she says it, that type of thing.

What happened when you tried?

Have you ever considered--once you convince your wife of what's happening--inducing labor at home, as early in the day as you can manage, and then going to the hospital?

I have no idea how you'd go about the induction, but you have infinite time and all the information on the internet at hand, I'm sure you can learn how to do it as safely as possible.

Best of luck.