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chromeos: splits ash's file list into public/sources sections

I'm putting all the '.h' files into public. We can refine the list as necessary
later.

I'm doing this as I would like to have private headers that other targets can't
include (well, except tests).

BUG=none
TEST=none

Change-Id: I84ab155a1449d969076dcd94feaa0150f3e9ad85
Reviewed-on: https://chromium-review.googlesource.com/1161498
Commit-Queue: Scott Violet <sky@chromium.org>
Reviewed-by: James Cook <jamescook@chromium.org>
Cr-Commit-Position: refs/heads/master@{#580581}