Why can't I switch into my Facebook Page if I can manage it in Meta Business Suite?

If you can manage the Page in Meta Business Suite but can’t switch into it on Facebook, you probably have task access rather than Facebook access. Task access is meant for Business Suite, Ads Manager, and similar tools, but it doesn’t include switching into the Page itself. Ask someone with full control to open the Page’s access settings and give you Facebook access (with the permissions you actually need). Once that’s been accepted, the Page should show under your profile switcher; if it doesn’t right away, refresh the app or sign out and back in.