It looks like the verge has been badly replaced in the past
It also seems like too much of an overhang for a typical dry verge, and might need to be adapted (?). Normally, the plastic continuous verge or sections have to sit up against the wall or a barge board below the tiles. I am not sure if there is a system that allows for that much overhang.
Thanks, I think I've decided against the dry verge anyway as I don't like the look of the one nearby! So it looks like a rake out and re-point the verge and maybe the ridge plus at least bird mesh and maybe soffits/facias to upvc at least on the back (where the conservatory impedes access).