fix(types): flatten tRPC Zod schema types to resolve TS2589 inference depth errors

Cast Zod schemas with .refine()/.superRefine() to z.ZodType<InferredType> at the
procedure level. This short-circuits TypeScript's deep type recursion through
tRPC's middleware chain, eliminating 4 of 5 @ts-expect-error TS2589 suppressions
in web components (VacationModal, ProjectModal, UsersClient, CountriesClient).

Applied same pattern to allocation, timeline, staffing, dashboard, project, and
resource query/mutation procedures to reduce client-side type depth.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

packages/api/src/router/user.ts

@@ -1,4 +1,11 @@
-import { adminProcedure, createTRPCRouter, managerProcedure, protectedProcedure, publicProcedure } from "../trpc.js";
+import type { z } from "zod";
+import {
+  adminProcedure,
+  createTRPCRouter,
+  managerProcedure,
+  protectedProcedure,
+  publicProcedure,
+} from "../trpc.js";
 import {
   autoLinkUsersByEmail,
   countActiveUsers,
@@ -92,7 +99,9 @@ export const userRouter = createTRPCRouter({
     .mutation(({ ctx, input }) => toggleFavoriteProject(ctx, input)),
 
   setPermissions: adminProcedure
-    .input(SetUserPermissionsInputSchema)
+    .input(
+      SetUserPermissionsInputSchema as z.ZodType<z.infer<typeof SetUserPermissionsInputSchema>>,
+    )
     .mutation(({ ctx, input }) => setUserPermissions(ctx, input)),
 
   resetPermissions: adminProcedure