I don't see a race. I see one company that does space travel and two dilettantes, who may or may not one day actually do something useful.
Winner of the race will be the dominant company in said community of 100,000 or the most socially influential person.
Bezos, Musk and Branson won't be alive to see that, so they are shooting for George Washington type influence, the one reserved for the founder, the guy who was at the beginning of it all and gets remembered .
Virgin Galactic is an expensive carnival ride and has nothing close to orbital capability.
For those that don't know: getting to orbit (let alone beyond) requires way more delta-V (energy) than getting past the Karman line. The German V-2 is (I think) the first vehicle to do that, but it was nowhere even near orbit capable. The first photo from space was done by the USA with a captured and modified V-2.
They launched satellites earlier this year.
The space tourism thing is just a part of what the company does.
SpaceX is still way ahead though.
That's like saying Lockheed Martin (maker of the F-35) is "way ahead" of Textron (maker of the Cessna). They have different goals entirely.
I think you mean "Grasshopper" (the Falcon 9 VTOL test mule from a few years back). New Shepard is less than half the size of Starhopper, and the BE-3 engine has ~25% of the thrust of the Raptor engine.