Good news and bad news.. I managed to get the broken wire soldered back on and the cap as well but during the whole process the heater got burned out.
When I tested the tube after making the repair I couldn't get the heater to light up. I tested for continuity but found the heater open. I removed the cap again but couldn't get a short on the heater no matter what I did..
I guess I burned it out during the resoldering work.
One less 10BP4 in the world and it's all my fault.
