Path parameters for server routes are not parsed correctly and have invalid typescript types

[valerii15298]

Which project does this relate to?

Router

Describe the bug

Path parameters for server routes are not parsed correctly and have invalid typescript types.
https://github.com/valerii15298/tss-repros/blob/server-route-path-params-parsing/src/routes/%24id.tsx

Reproduction code:

import { createFileRoute } from "@tanstack/react-router";

export const Route = createFileRoute("/$id")({
  params: {
    parse: (p) => ({ id: Number(p.id) }),
    stringify: (p) => ({ id: String(p.id) }),
  },
  server: {
    handlers: {
      GET({ params }) {
        // params type: { id: number; } but in runtime actually { id: string; }
        console.log(typeof params.id)
        return Response.json(params);
      },
    },
  },
});

Complete minimal reproducer

https://github.com/valerii15298/tss-repros/tree/server-route-path-params-parsing

Steps to Reproduce the Bug

Go to the reproduction repo branch, run pnpm dev and go to http://localhost:3000/44 in browser.
id parameter is actually a string while shows as number type

Expected behavior

Path parameters should be parsed for server routes too or the types should be correct.

Screenshots or Videos

No response

Platform

@tanstack/react-router@1.170.36
@tanstack/react-start@1.168.53

Additional context

No response