fix(router-core): fix search middleware type to use schema output

.changeset/quiet-plums-help.md

@@ -0,0 +1,5 @@
+---
+'@tanstack/router-core': patch
+---
+
+fix(router-core): use search validator output type for search middleware context

packages/router-core/src/route.ts

@@ -1274,9 +1274,7 @@ export interface UpdatableRouteOptions<
   preloadGcTime?: number
   search?: {
     middlewares?: Array<
-      SearchMiddleware<
-        ResolveFullSearchSchemaInput<TParentRoute, TSearchValidator>
-      >
+      SearchMiddleware<ResolveFullSearchSchema<TParentRoute, TSearchValidator>>
     >
   }
   /** 

packages/router-core/tests/searchMiddleware.test-d.ts

@@ -0,0 +1,39 @@
+import { describe, expectTypeOf, test } from 'vitest'
+import { BaseRootRoute, BaseRoute, type ValidatorAdapter } from '../src'
+
+describe('search middlewares', () => {
+  test('should use search validator output for middleware context', () => {
+    type SearchInput = {
+      page?: string
+    }
+
+    type SearchOutput = {
+      page: number
+    }
+
+    const searchValidator: ValidatorAdapter<SearchInput, SearchOutput> = {
+      types: undefined as never,
+      parse: () => ({ page: 1 }),
+    }
+
+    const rootRoute = new BaseRootRoute({})
+
+    new BaseRoute({
+      getParentRoute: () => rootRoute,
+      path: '/posts',
+      validateSearch: searchValidator,
+      search: {
+        middlewares: [
+          ({ search, next }) => {
+            expectTypeOf(search).toEqualTypeOf<SearchOutput>()
+            expectTypeOf(next).toBeCallableWith({ page: 2 })
+            expectTypeOf(next).parameter(0).toEqualTypeOf<SearchOutput>()
+            expectTypeOf(next({ page: 2 })).toEqualTypeOf<SearchOutput>()
+
+            return search
+          },
+        ],
+      },
+    })
+  })
+})