Hi @Tanja Schreier ,
Welcome to our forum!
Based on my research on the error "532 5.3.2 STOREDRV.Deliver; Missing or bad mailbox Database property", i found a similar known issue as yours, which mentioned that:
This issue occurs because the Address Book Policy Routing agent cannot resolve the recipient object that is hidden from the GAL in an Exchange Server 2013 environment.
More information: "532 5.3.2" NDR when you send an email message to a hidden mailbox in an Exchange Server 2013 environment
Please check if it is your issue and try the resolution and workaround mentioned in it.
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