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/dashboard.ts

@@ -1,3 +1,4 @@
+import type { z } from "zod";
 import { createTRPCRouter, controllerProcedure } from "../trpc.js";
 import {
   dashboardChargeabilityOverviewInputSchema,
@@ -34,7 +35,13 @@ export const dashboardRouter = createTRPCRouter({
     .query(({ ctx, input }) => getDashboardTopValueResourcesRead(ctx, input)),
 
   getDemand: controllerProcedure
-    .input(dashboardDemandInputSchema)
+    .input(
+      dashboardDemandInputSchema as z.ZodType<
+        z.infer<typeof dashboardDemandInputSchema>,
+        z.ZodTypeDef,
+        z.input<typeof dashboardDemandInputSchema>
+      >,
+    )
     .query(({ ctx, input }) => getDashboardDemandRead(ctx, input)),
 
   getDetail: controllerProcedure
@@ -47,7 +54,9 @@ export const dashboardRouter = createTRPCRouter({
 
   getBudgetForecast: controllerProcedure.query(({ ctx }) => getDashboardBudgetForecastRead(ctx)),
 
-  getBudgetForecastDetail: controllerProcedure.query(({ ctx }) => getDashboardBudgetForecastDetail(ctx)),
+  getBudgetForecastDetail: controllerProcedure.query(({ ctx }) =>
+    getDashboardBudgetForecastDetail(ctx),
+  ),
 
   getSkillGaps: controllerProcedure.query(({ ctx }) => getDashboardSkillGapsRead(ctx)),
 
@@ -55,5 +64,7 @@ export const dashboardRouter = createTRPCRouter({
 
   getProjectHealth: controllerProcedure.query(({ ctx }) => getDashboardProjectHealthRead(ctx)),
 
-  getProjectHealthDetail: controllerProcedure.query(({ ctx }) => getDashboardProjectHealthDetail(ctx)),
+  getProjectHealthDetail: controllerProcedure.query(({ ctx }) =>
+    getDashboardProjectHealthDetail(ctx),
+  ),
 });