The beta (if/when) it is a available will only be for unlocked devices. Given the model number you provided, it sounds like you purchased your phone from Verizon directly and thus (according to the original beta post) will not be available for the beta. That said, your phone WILL get the official release once both Samsung and Verizon release it.
There was nothing about beta for S9/Note9 devices. S10 device beta is ongoing, Note10 hasn't started in US yet. In any case, the welcome page usually will have a post if beta is available:
So is the beta out for the Note 10+ in the US? I don't see it anywhere and I want to try it out. I'm in Verizon but this is an unlocked Note 10+ bought direct from Samsung.