can't have an AFDD with a Ring.
I think one can, and the device will still detect and deal with 'parallel arcs' (between L&N or L&E, due to insulation damage/deterioration)) in the same way as in any other circuit.
The often mentioned 'issue' is that
series arcs will not usually arise in ring finals, since, in the event of a break in one of the live conductors, current will flow through the 'other arm' of the ring, rather than trying to 'jump the gap' in an arc. Hence, whilst and AFDD will sometimes detect and deal with such faults in any cable (radial circuit, or connection/spur from a ring final)
other than the ring cable of a ring final, it will not detect such a fault in the ring of a ring final.
However, since there is no arc when such a fault arises in the cable of a ring, there is no potential arc-related fire hazard - the only 'issue' being that, unlike the situation with any other cable, an AFDD will not detect and react to a break in the ring conductor (which theoretically increases the risk of cable overload) in the way that it might with any other cable.
Of course, if one is concerned about any of that, one doesn't have to use ring finals!