I thought setting the time zone in PHP to Europe/London would sync with Paddle’s servers since they're in the UK, but apparently that’s not correct. It looks like Greenland is a better match. Will know in a few more minutes when it turns 6:00pm here (California) if their server zeros out and July starts.
Greenland is off by an hour (i.e., 11:00PM and not midnight as I was hoping). Now have to find a way to add an hour to Greenland or find some other way to do it.