Nothing on that image is a work of HBO.
Whomever took the Trump photo could make a copyright claim, unless it is a photo taking by the government, then it is public domain. The background might be a stock image, or just 5 min in Photoshop if you know what you are doing. The font used isn’t even from the logo, but the “close enough” free font you can find online. It may have a corporation use license, but that’s like what, $20? It is basically Trajan except for the O.
What, specifically, do you feel HBO has a direct rights claim to?
