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Once bled, leave the pads out and clean and dry everything. Wrap a spacer block in paper, and fit it into the caliper.
Apply pressure at the brake lever using a toe strap or similar, and leave for a few hours (overnight if you have time).
Once enough time has elapsed, undo the strap and give the brake a test squeeze. Check the paper for any evidence of fluid leaking out from the pistons.(Apols if egg sucking 101)
Still bleeding, happy (indeed, keen) to perform any tests that you suggest when I button it up again.