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This allows converting |targets_| from a member to a parameter that's
passed around.  I also did some other cleanup while there.

Bug: 772945
Change-Id: Iaa7f70594ba109d1598da3566856e90c8b09629d
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2481246
Commit-Queue: Melissa Zhang <melzhang@chromium.org>
Reviewed-by: Melissa Zhang <melzhang@chromium.org>
Auto-Submit: Peter Kasting <pkasting@chromium.org>
Cr-Commit-Position: refs/heads/master@{#818324}