You could not load different blazor pages in the flyoutPage by pressing different buttons, because Blazor pages are not the MAUI ContenPage class. An alternative implementation is to load a ContenPage containing a different blazor page in the FlyoutPage by pressing a different button.
These two navigation methods cannot be mixed, MAUI navigation only acts on MAUI's Page classes, Blazor is the same.
You could refer to the following two documentations to get more detailed information about the navigation methods on Blazor:
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