xcodebuild -exportArchive fails for developer-id signed app

We use the xcodebuild -exportArchive command to export our app. This command has code signing issues with Xcode 13, where apparently a communication with Apple failed. The command is executed on macOS 12.0 Beta (21A5304g). By switching to Xcode Version 12.2 (12B45b) using xcode-select, the export works under equal conditions! This seems to be a regression in Xcode 13. Our iOS and Mac App Store builds export fine, this only affects the developer-id build.

I would like to ask if this is a bug/regression that we can expect to be fixed. If you need further information / logs, I will happily provide them.

The command:

xcodebuild \                                                                    
    -exportArchive \
    -archivePath „xy.xcarchive" \
    -exportOptionsPlist "ExportOptions.plist" \
    -exportPath  „$exportPath“ \
    -allowProvisioningUpdates

The command output:

Error Domain=DeveloperAPIServiceErrorDomain Code=5 "Communication with Apple failed." UserInfo={IDEDistributionIssueSeverity=3, NSLocalizedRecoverySuggestion=You are not allowed to perform this operation.  Please check with one of your Team Admins, or, if you need further assistance, please contact Apple Developer Program Support. https://developer.apple.com/support, NSLocalizedDescription=Communication with Apple failed.}

error: exportArchive: No profiles for ’bundle-identifier’ were found

Error Domain=IDEProfileLocatorErrorDomain Code=1 "No profiles for 'bundle-identifier' were found" UserInfo={IDEDistributionIssueSeverity=3, NSLocalizedDescription=No profiles for 'bundle-identifier' were found, NSLocalizedRecoverySuggestion=Xcode couldn't find any Developer ID provisioning profiles matching 'bundle-identifier'.}

error: exportArchive: Communication with Apple failed.

Error Domain=DeveloperAPIServiceErrorDomain Code=5 "Communication with Apple failed." UserInfo={IDEDistributionIssueSeverity=3, NSLocalizedRecoverySuggestion=You are not allowed to perform this operation.  Please check with one of your Team Admins, or, if you need further assistance, please contact Apple Developer Program Support. https://developer.apple.com/support, NSLocalizedDescription=Communication with Apple failed.}

error: exportArchive: No profiles for 'bundle-identifier.shareextension' were found

Error Domain=IDEProfileLocatorErrorDomain Code=1 "No profiles for 'bundle-identifier.shareextension' were found" UserInfo={IDEDistributionIssueSeverity=3, NSLocalizedDescription=No profiles for 'bundle-identifier.shareextension' were found, NSLocalizedRecoverySuggestion=Xcode couldn't find any Developer ID provisioning profiles matching 'bundle-identifier.shareextension'.}

Also filed as FB9560862.