Fail to deploy self-hosted Python MCP project to Premium/App Service Plan function app with "Secrets" authentication type

[v-ruizh]

OS: Win 11 x64
Build Version: 20260513.1

Repro Steps:

1. Create a new self-hosted MCP server project with Python language.
2. Create a Premium/App Service Plan Python function app with "Secrets" authentication type.
3. Deploy the project to the function app.
4. Check whether succeeds to deploy or not.

Expect:
Succeed to deploy the project.

Actual:
Fail to deploy the project.

More Info:

1. This issue does not reproduce if deploying the same project to a Premium/App Service Plan Python function app with "Managed identity" authentication type or Flex Consumption function app.
2. This issue does not reproduce for self-hosted C#/TypeScript MCP project.
3. No function displays in non-Flex Consumption function app after deployment.