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The broken ordering of functions between AutofillClient and its five
subclasses has gotten out of hand.  This CL cleans them all up and makes
them consistent with each other (and between their own .h and .cc files)
so that we can keep them consistent as we move forward in this area.

This CL purely moves lines around, with the exception of one deleted
function prototype in chrome_autofill_client.h that I explicitly call
out.

This CL is diffbased on
https://chromium-review.googlesource.com/c/chromium/src/+/1351256.

Change-Id: I250600d555c064691d6c50fbd414ec85956fc6e7
Reviewed-on: https://chromium-review.googlesource.com/c/1352449Reviewed-by: Tao Bai <michaelbai@chromium.org>
Reviewed-by: Rohit Rao <rohitrao@chromium.org>
Reviewed-by: Fabio Tirelo <ftirelo@chromium.org>
Commit-Queue: Jared Saul <jsaul@google.com>
Cr-Commit-Position: refs/heads/master@{#612838}