Which is why my password manager has zero integration directly with the browser, or anything else for that matter. There is a tiny little bit of extra legwork caused by this⁰, but IMO it is a good compromise between convenience and easily available attack surface.

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[0] and it might be susceptible to attacks that manage to listen to the OS message queue & clipboard where a browser integrated method would not be, but once something is that far into your system there isn't much that is going to help you except maybe an orbital nuke.