A weak solution made up from Sodium Hydroxide ( available from the hardware ) will remove bare aluminium. Works better if the solution is warm ( and use rubber gloves ) . I can't tell you how much to put it, I don't think its that critical, but perhaps a heaped teaspoon in a litre of water and put the mirror in a dish with the face submerged.
Soak for a few hours and gentle movement of cotton wool over the surface will keep refereshing the face, and work on tenacious bits of coating that are lagging behind. . This won't damage Pyrex , but plate glass can get a lemon peel finish if left overly long.
Better still , get your recoater to do it, he will have amuch better idea of what he is doing.
Mark