Interesting note: no flow root can ever establish an inline formatting context, because inline formatting contexts can only exist inside of another non-inline formatting context. This is because inline formatting contexts may contain floats, and how those floats behave depends on the outer formatting context. If the outer formatting context is a BFC then the float floats, though it's not clear where its box belongs in the box tree. If the outer formatting context is something else (and no examples exist of this yet in CSS) then whether and how the float floats is up to that formatting context.
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