Marco S. Junior Thanks for posting your question in Microsoft Q&A. This behavior is likely as per design to prevent subdomain takeovers and refer doc Mitigating subdomain takeovers in Azure App Service & Name Reservation on App Service for Web Apps and App Service Environment (ASE) for more info.
Upon deletion of App Service/Function app, the corresponding DNS is reserved for a cooldown period (vary based on the subscription; min 30 days) and DNS is forbidden except for subscriptions belonging to the tenant of the subscription owning the DNS. In your case, it appears to be different and hence the error the app name alpha-alpha43783428798429784 is not available
. We might need to review the backend logs to confirm if this is the cause.
If you have a valid business scenario to create the same function app in different tenant (before cooldown period), then you can open a support ticket with our azure support team. They can assist you further with this request. I hope this helps.
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