Blue Origin is almost completely irrelevant. Jeff Bezos may buy United Launch Alliance, but it likely won't help given Blue Origin's abysmal track record.
Amazon's Project Kuiper (the Starlink competitor) has no affordable launch provider since they're avoiding SpaceX, so it's also dead in the water.
It is the platform NASA is using for the upcoming ESCAPADE mission to Mars. And it was used for the CAPSTONE Lunar mission, for example.
If that’s true there’s likely major managerial or structural issues that are gumming things up.
From [0]:
> As a space reporter, I have spoken with dozens of current and former Blue Origin employees, and virtually none of them have had anything positive to say about Smith's tenure as chief executive. I asked one current employee about the hiring of Limp on Monday afternoon, and their response was, "Anything is better than Bob."
[0]: https://arstechnica.com/space/2023/09/bob-smith-is-finally-g...
As to whether Amazon's Spacelink competitor will be launched depends on whether BO can get their New Glenn rocket - a Falcon 9 competitor - up and running. If they do they should be able to 'launch their own dogfood' just like SpaceX is doing with Starlink on Falcon 9.