Had to drain down CH system today to fit a new 3port valve, bloody annoying!

Anyhow I have a slim-line single convector rad in the hallway where the
Square of the bleeder core is broken off, and the radiator construction is
such that there is no room between the bleed valve itself and the body of
the rad to get a socket on it to unscrew the whole unit.

Any tips, or will I have to replace the whole rad?!

On top of this, the whole thing has afew coats of paint on it!

TIA

Tim..