Should I keep the meat boiled off of bones when making beef broth?
Taste the meat and if it still seems edible to you then there is no reason to throw it out.

When I make stock, I keep it on a simmer for much longer than three hours and any meat is completely tasteless by the time I'm done. Three hours, however, is about how long you would cook meat to make a stew, so it's quite possible that you could eat it.

On the other hand, not all cuts of meat stew well and I'm not familiar with this cut. If the meat has plenty of connective tissues (i.e. collagen) to gelatinise it shouldn't dry out too much. But the proof is in the pudding: taste it.