Sorry, a prototype isn't even close to pulling ahead of in a race where there's an entity that has routinely been breaking records for numbers of launches each year, and has multiple available formats for doing so, including manned flights to actual space, not just up to the edge. No.
And New Glenn is more equivalent to the already tried and tested Falcon Heavy, while there's an even bigger, and already flight tested Starship prototype that's already outclasses it. New Glenn succeeding would effectively be it competing for second at best-years later.