feat(server): refactor mcp (#14579)

#### PR Dependency Tree


* **PR #14579** 👈

This tree was auto-generated by
[Charcoal](https://github.com/danerwilliams/charcoal)

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit

* **New Features**
* Full JSON-RPC MCP endpoint with batch requests, per-message
validation, method dispatch (initialize, ping, tools/list, tools/call)
and request cancellation
* Tool listing and execution with input validation, standardized
results, and improved error responses

* **Chores**
  * Removed an external protocol dependency
  * Bumped MCP server version to 1.0.1
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

packages/backend/server/package.json

@@ -34,7 +34,6 @@
     "@fal-ai/serverless-client": "^0.15.0",
     "@google-cloud/opentelemetry-cloud-trace-exporter": "^3.0.0",
     "@google-cloud/opentelemetry-resource-util": "^3.0.0",
-    "@modelcontextprotocol/sdk": "^1.26.0",
     "@nestjs-cls/transactional": "^2.7.0",
     "@nestjs-cls/transactional-adapter-prisma": "^1.2.24",
     "@nestjs/apollo": "^13.0.4",