More layers of shims give way to the spongier pedal , most don't like that. And I don't know what you purchased and so my guess is to have put them on "out of the box" for the latter reason , and that another layer maybe caused minor gap/space that "resonates" in that squeal , and last you do have the squeal - my guess.
BUT again bedding-in process one more time , waiting a few hundred mi, especially if there isn't significant spongy pedal - cause without seeing your job , nothing intrinsically wrong with a shim over a built-in shim?
By waiting , gives a chance for proper "set" to take AND if you do care to tear into an inspection you will see a more thorough "wear distribution" as being correct vs deviant , whilst you go ahead remove the second shim