Connection string for parameterized Linked Services - Azure SQL / Azure Synapse

Hi,

I have a requirement where in I need to parameterize my Azure SQL/Azure Synapse linked service using 2 parameters 'DBServer' and 'DBName'. I configured my collaboration branch as below and everything works as expected in my Synapse workspace.

Even the linked service ARM template shows the connection string values as expected.

However when I publish the code (using the publish button in Synapse workspace), the code in the Synapse Live mode does not contain these parameters defined. Please see the snippet below.

Even the code in the TemplateParameter file of the publish branch is blank.

I tried removing the parameters and put in the actual values for Server and DBName, it still shows no values in the publish branch/Live mode. While I understand that the git mode does not store secrets, this case of mine does not have any secrets and I am authenticating via Managed Identity.
Is there a solution to deal with this scenario? I would not prefer to store the connection string in KeyVault and refer it back in the linked service as it does not make the solution completely dynamic.

Thanks in advance,
Alok