Your chromebook won't try to update when you're tethering your Android device in the last Chrome OS Dev update. In fact, it will treat this network as a cellular network.

If you want to see if your Android device WiFi network is detected as tethered, go to chrome://system and look for "ANDROID_METERED" in the network-status section.

Source: https://chromium-review.googlesource.com/189524
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