How to force Apple Pay to work in the Safari session without quitting Safari?

I have a problem with Apple Pay occasionally. In some situations, Apple Pay does not load. The payment screen is just aborted instantly. Apple Pay on the Web Demo (https://applepaydemo.apple.com) lists the error as: Apple Pay JS:

Payment cancelled by WebKit:

session.oncancel

Payment Request API:

PaymentRequest AbortError: The operation was aborted.

Interestingly enough, when I load up Safari Technology Preview and visit Apple Pay on the Web Demo it works completely fine. No errors. And also when I switch profiles from my administrator profile to my regular profile on MacOS, it works fine. There seems to be something wrong in the original Safari session and I can't figure out the fix for it. I have tried Command + Q which fixes it. But I would like to know if there's a work around to that. I almost always use Private mode in Safari so figuring out a way to not need to Command + Q to fix this issue would be great (since Private does not save info from session to session). Currently on MacOS Monterey Version 12.4, Macbook Air M1 2020, Safari Version 15.5