Hmm, so Zero Escape 3 may or may not be announced on July 3rd.
Judging from this teaser site, which has added more and more words and numbers throughout the weeks
http://4infinity.coMany fans are speculating it to be a countdown to the ZE finale. However, we can't really be sure. It could be that, or it could be one of Uchikoshi's (creator of ZE) Infinity games; VNs which he created before he made ZE.
Given the title of the teaser site, it would be plausible for it to be an Infinity series localization or perhaps a new entry.
That being said, though, upon observing the numbers and words moving across the teaser page, many of them can be connected to the ZEverse; hence why many of the fans are holding out for a rather intricate reveal. Additionally, Uchikoshi's twitter page has some vague hints towards it.
Fair warning: If this is what I think it is, expect me to absolutely lose my [parasitic bomb].