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/country.ts

@@ -23,6 +23,8 @@ import {
   updateMetroCity,
 } from "./country-procedure-support.js";
 import { CreateCountrySchema, CreateMetroCitySchema } from "@capakraken/shared";
+import type { CreateCountryInput } from "@capakraken/shared";
+import type { z } from "zod";
 
 export const countryRouter = createTRPCRouter({
   list: protectedProcedure
@@ -46,7 +48,13 @@ export const countryRouter = createTRPCRouter({
     .query(({ ctx, input }) => getMetroCityById(ctx, input)),
 
   create: adminProcedure
-    .input(CreateCountrySchema)
+    .input(
+      CreateCountrySchema as z.ZodType<
+        CreateCountryInput,
+        z.ZodTypeDef,
+        z.input<typeof CreateCountrySchema>
+      >,
+    )
     .mutation(({ ctx, input }) => createCountry(ctx, input)),
 
   update: adminProcedure