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/vacation.ts

@@ -1,7 +1,9 @@
 import { createTRPCRouter, protectedProcedure } from "../trpc.js";
+import type { z } from "zod";
 import {
   createVacationRequest,
   CreateVacationRequestSchema,
+  type CreateVacationRequestInput,
 } from "./vacation-create-support.js";
 import { vacationManagementProcedures } from "./vacation-management-procedures.js";
 import { vacationReadProcedures } from "./vacation-read.js";
@@ -11,6 +13,6 @@ export const vacationRouter = createTRPCRouter({
   ...vacationManagementProcedures,
 
   create: protectedProcedure
-    .input(CreateVacationRequestSchema)
+    .input(CreateVacationRequestSchema as z.ZodType<CreateVacationRequestInput>)
     .mutation(({ ctx, input }) => createVacationRequest(ctx, input)),
 });