Reflect the latest changes on the schema (#682)

<!-- Provide a brief summary of your changes -->

## Motivation and Context
<!-- Why is this change needed? What problem does it solve? -->
Addressing
https://github.com/modelcontextprotocol/registry/pull/634#issuecomment-3410615843
## How Has This Been Tested?
<!-- Have you tested this in a real application? Which scenarios were
tested? -->

## Breaking Changes
<!-- Will users need to update their code or configurations? -->

## Types of changes
<!-- What types of changes does your code introduce? Put an `x` in all
the boxes that apply: -->
- [ ] Bug fix (non-breaking change which fixes an issue)
- [ ] New feature (non-breaking change which adds functionality)
- [ ] Breaking change (fix or feature that would cause existing
functionality to change)
- [ ] Documentation update

## Checklist
<!-- Go over all the following points, and put an `x` in all the boxes
that apply. -->
- [ ] I have read the [MCP
Documentation](https://modelcontextprotocol.io)
- [ ] My code follows the repository's style guidelines
- [ ] New and existing tests pass locally
- [ ] I have added appropriate error handling
- [ ] I have added or updated documentation as needed

## Additional context
<!-- Add any other context, implementation notes, or design decisions
-->

Signed-off-by: Radoslav Dimitrov <radoslav@stacklok.com>

docs/reference/server-json/server.schema.json

@@ -1,6 +1,6 @@
 {
   "$comment": "This file is auto-generated from docs/reference/api/openapi.yaml. Do not edit manually. Run 'make generate-schema' to update.",
-  "$id": "https://static.modelcontextprotocol.io/schemas/2025-09-29/server.schema.json",
+  "$id": "https://static.modelcontextprotocol.io/schemas/2025-10-11/server.schema.json",
   "$ref": "#/definitions/ServerDetail",
   "$schema": "http://json-schema.org/draft-07/schema#",
   "definitions": {
@@ -373,7 +373,7 @@
       "properties": {
         "$schema": {
           "description": "JSON Schema URI for this server.json format",
-          "example": "https://static.modelcontextprotocol.io/schemas/2025-09-29/server.schema.json",
+          "example": "https://static.modelcontextprotocol.io/schemas/2025-10-11/server.schema.json",
           "format": "uri",
           "type": "string"
         },