@mark-robustelli Well, here are some screenshots:
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at first I added a new IdP - via API POST /api/identity-provider - and the existing dummy/placeholder certificate is linked:

-> this is the only IdP -
then I import - via API POST /api/key/import - the correct certificate:

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but I do not link this in the IdP, and so do not set the Verification key
Do I get it right, that the login should not work in that case? But I am able to login via this EntraID IdP.