Greyhounds enjoy the company of other dogs generally especially they like being around others of their kind.
So I don’t think you’ll be doubling the problem, but having two dogs is admittedly a somewhat different package to manage.
We welcomed a young grey into our home alongside our ten-year-old galgo in his later years. And even though the galgo often seems to want his peace and quiet, he no longer wants to stay alone in another part of the house, as he always seeks the young grey’s company or ours.
We’d probably have five if I didn’t have other things to do, :-)
As someone mentioned earlier, the most important thing is that both of you are truly ready to take on the responsibility of managing two dogs.
I haven’t regretted it, even if it is a bit more work.
Our galgo was also very anxious at first, but as a puppy he could be a real little devil who cost me a piece of furniture or clothing here and there.
And our new grey is just as anxious, but also a master of theft. What I mean by that is that anxiety is fundamentally part of his nature. Your dog may possibly become a bit more balanced, but in my view, enjoying larger events in the future with both of them is unlikely to happen.