The bug
Logging in with a Microsoft account in the launcher shows the launcher as Browser/app "Chrome" in the activity overview of the Microsoft account (https://account.live.com/Activity).
This is irritating and might make users think someone unauthorized accessed their account, or they might not take the activity protocol serious anymore.
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Reproduction steps
Log out of the launcher
Log in with your Microsoft account
Open https://account.live.com/Activity in the browser
❌ It claims that you logged in with Chrome
Closing as Works as intended.
This issue is not a Launcher issue, but how MS store works.