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Since we've moved manifest merger to using cmdline-tools, we no longer need
android_sdk/public/tools.

Bug: 1049700
Change-Id: I2946fe85a861b8e9ddc85af357953007259e7977
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2044885
Auto-Submit: Sam Maier <smaier@chromium.org>
Reviewed-by: Andrew Grieve <agrieve@chromium.org>
Commit-Queue: Sam Maier <smaier@chromium.org>
Cr-Commit-Position: refs/heads/master@{#740524}