Actually, anyone can test it now. You should see a link at the bottom of most pages to try the new chess.com.
Just a guess, but I think it will probably go live as the main site by the end of the year or shortly after.
Version 3 chess.com... will it ever arrive?
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Will it ever be the new and only version of chess.com?
Seems like it is stuck in testing/ beta mode forever (i.e. only premium members).