Hi there.....it's pretty alarming when these things happen, but neither dragon should have any problem. Dragons eat bugs with jagged legs and have no trouble so it will not be any problem at all. And beardies get toes bitten off fairly often , esp. babies in groups, so as long as you keep it clean it will heal up just fine . A dab of Neosporin or unpasteurized honey if you want to put anything on it, but it shouldn't be a problem at all.
You'd be amazed at what an adult dragon can eat + pass through....a couple of years ago a poster's dragon ate their baby iguana and posted a pic after it came out.