Automating Azure SQL DB index and statistics maintenance using Azure Automation

Can we perform all steps for Azure Managed Database Instance?

I am trying to perform this on Azure Managed database instance. But getting following error message

Invoke-Sqlcmd : A network-related or instance-specific error occurred while establishing a connection to SQL Server. 
The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is 
configured to allow remote connections. (provider: TCP Provider, error: 0 - A connection attempt failed because the 
connected party did not properly respond after a period of time, or established connection failed because connected 
host has failed to respond.)
At line:6 char:16
+ ... LOutput = $(Invoke-Sqlcmd -ServerInstance $AzureSQLServerName -Userna ...
+                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    + CategoryInfo          : InvalidOperation: (:) [Invoke-Sqlcmd], SqlException
    + FullyQualifiedErrorId : SqlExceptionError,Microsoft.SqlServer.Management.PowerShell.GetScriptCommand
 
Invoke-Sqlcmd : 
At line:6 char:16
+ ... LOutput = $(Invoke-Sqlcmd -ServerInstance $AzureSQLServerName -Userna ...
+                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    + CategoryInfo          : ParserError: (:) [Invoke-Sqlcmd], ParserException
    + FullyQualifiedErrorId : ExecutionFailureException,Microsoft.SqlServer.Management.PowerShell.GetScriptCommand