using redirect factory in `beforeLoad` breaks type inference

Which project does this relate to?

Router

Describe the bug

Using beforeLoad factory with urls like ...entity/$entityId/info, ...entity/$entityId/detail breaks route types inference.

My route config looks like this:

export const Route = createFileRoute('/$companyId/_layout/entities/$entityId')({
  wrapInSuspense: true,
  component: EntityPage,
  beforeLoad: makeBeforeLoadRedirect({
    from: '/$companyId/user/entities/$entityId',
    to: '/$companyId/user/entities/$entityId/info',
  }),
});

Your Example Website or App

https://stackblitz.com/edit/tanstack-router-4u7q7qsv?file=src%2Froutes%2Fposts.%24postId.tsx

Steps to Reproduce the Bug or Issue

1. Go to posts.$postId.tsx
2. Look that postId param has any type
3. Comment the beforeLoad code to fix the error

Expected behavior

I'm expecting that the createFileRoute call should define the types of my configuration and not vice versa.

The solution I found that requires changes in the router codebase is adding NoInfer to the types inside the beforeLoad BeforeLoadContextOptions on line https://github.com/TanStack/router/blob/57bb7950b63e0433f6284f414d2ba73d1452bc37/packages/router-core/src/route.ts#L963

Screenshots or Videos

No response

Platform

• Router version: 1.133.13

Additional context

I've created MRE based on the basic React Query, but my actual use case for this is a bit more complex.
I have an entity page that contain my RouterTabs component that renders an Outlet. Each tab has its separate route like: ...entity/$entityId/info, ...entity/$entityId/detail.

This pattern is common in my project, so I use a beforeLoad factory that allows me to quickly generate a redirect call.

I didn't find it easy to use the typings of FilebaseRouteOptionsInterface in my codebase, but I also didn't find another solution to reuse my redirection logic.

Start with the MRE's posts.$postId.tsx and inspect the beforeLoad factory typing, then read packages/router-core/src/route.ts around line 963 and its BeforeLoadContextOptions type. Verify the change preserves route configuration inference so postId is no longer any when beforeLoad is enabled, while the redirect factory still accepts the shown from and to paths.