Currently taskbar tab windows will collapse the horizontal tab strip by default. But it does not disable the sidebar/vertical tabs. I think its reasonable for the sidebar to exist (for the usage of AI bot), but vertical tabs should definitely not be shown. As a follow up to that, tree-style tabs addon (https://addons.mozilla.org/en-US/firefox/addon/tree-style-tab/?utm_source=addons.mozilla.org&utm_medium=referral&utm_content=search) will also interfere with taskbar tabs.
Bug 1952045 Comment 0 Edit History
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Currently taskbar tab windows will collapse the horizontal tab strip by default. But it does not disable the sidebar/vertical tabs. For the first iteration of this project, we will omit the sidebar completely. Later we will think about making the sidebar available in Web App contexts that make sense.