What type of rust is this? Are our black raspberries goners?

Just moved into a new house and were thrilled to find we had black raspberries, then quickly disappointed when we saw this all over them. I can tell it’s rust, and am guessing it’s orange rust based on how bright the color is. From what I’ve read so far, if it’s orange rust they’re most likely goners, only if it hasn’t spread past the leaves may they have a chance. All input appreciated