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/timeline-mutations.ts

@@ -1,4 +1,6 @@
 import { PermissionKey, ShiftProjectSchema } from "@capakraken/shared";
+import type { ShiftProjectInput } from "@capakraken/shared";
+import type { z } from "zod";
 import { managerProcedure, requirePermission } from "../trpc.js";
 import { timelineAllocationMutationProcedures } from "./timeline-allocation-mutations.js";
 import { applyTimelineProjectShiftMutation } from "./timeline-shift-router-support.js";
@@ -7,7 +9,7 @@ export const timelineMutationProcedures = {
   ...timelineAllocationMutationProcedures,
 
   applyShift: managerProcedure
-    .input(ShiftProjectSchema)
+    .input(ShiftProjectSchema as z.ZodType<ShiftProjectInput>)
     .mutation(async ({ ctx, input }) => {
       requirePermission(ctx, PermissionKey.MANAGE_ALLOCATIONS);