chore(ManagedIdentities): remove obsolete V1beta1 samples

[sofisl]

This PR removes obsolete sample files for ManagedIdentities that are no longer generated.

Testing Deletions

No core library classes were deleted in this PR, only orphaned sample files for V1beta1. The core client logic still exists but these samples were dropped from generation.

Test Script:

<?php
require 'vendor/autoload.php';
echo "Testing client existence...\n";
if (class_exists('Google\Cloud\ManagedIdentities\V1beta1\ManagedIdentitiesServiceClient')) {
    echo "ERROR: ManagedIdentitiesServiceClient V1beta1 still exists!\n";
    exit(1);
} else {
    echo "SUCCESS: ManagedIdentitiesServiceClient V1beta1 does not exist.\n";
}

Output:

Testing client existence...
SUCCESS: ManagedIdentitiesServiceClient V1beta1 does not exist.

BREAKING_CHANGE_REASON=OwlBot failed to clean up these associated samples/V1beta1 directory files when the V1beta1 surface was deprecated in PR #7577. Librarian correctly removes these orphaned artifacts. There is no impact to the core client functionality.

For googleapis/librarian#7366

[snippet-bot]

Here is the summary of changes.

You are about to delete 10 region tags.

• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/attach_trust.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_AttachTrust_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/create_microsoft_ad_domain.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_CreateMicrosoftAdDomain_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/delete_domain.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_DeleteDomain_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/detach_trust.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_DetachTrust_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/get_domain.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_GetDomain_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/list_domains.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_ListDomains_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/reconfigure_trust.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_ReconfigureTrust_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/reset_admin_password.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_ResetAdminPassword_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/update_domain.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_UpdateDomain_sync
• ManagedIdentities/samples/V1beta1/ManagedIdentitiesServiceClient/validate_trust.php:25, tag managedidentities_v1beta1_generated_ManagedIdentitiesService_ValidateTrust_sync

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