Owning a colony on the same continent as the capital?

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As Ireland I have moved my capital to North America. There is a colonial nation created by Scotland (Scottish California). Will annexing Scotland result in owning a colony on the same continent as my capital? Or will the territories of Scottish California be annexed? => I will have to core them.
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Images: Nothing Ahead, Patrick Pa, Andrea Piacquadio, Andrea Piacquadio