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/project-cost-read.ts

@@ -4,13 +4,19 @@ import { z } from "zod";
 import { CursorInputSchema, paginateCursor } from "../db/pagination.js";
 import { controllerProcedure } from "../trpc.js";
 
+const ListWithCostsInputSchema = CursorInputSchema.extend({
+  status: z.nativeEnum(ProjectStatus).optional(),
+  search: z.string().optional(),
+});
+
 export const projectCostReadProcedures = {
   listWithCosts: controllerProcedure
     .input(
-      CursorInputSchema.extend({
-        status: z.nativeEnum(ProjectStatus).optional(),
-        search: z.string().optional(),
-      }),
+      ListWithCostsInputSchema as z.ZodType<
+        z.infer<typeof ListWithCostsInputSchema>,
+        z.ZodTypeDef,
+        z.input<typeof ListWithCostsInputSchema>
+      >,
     )
     .query(async ({ ctx, input }) => {
       const { status, search, cursor } = input;
@@ -58,9 +64,8 @@ export const projectCostReadProcedures = {
           totalCostCents += booking.dailyCostCents * days;
           totalPersonDays += (booking.hoursPerDay * days) / 8;
         }
-        const utilizationPercent = project.budgetCents > 0
-          ? Math.round((totalCostCents / project.budgetCents) * 100)
-          : 0;
+        const utilizationPercent =
+          project.budgetCents > 0 ? Math.round((totalCostCents / project.budgetCents) * 100) : 0;
         return {
           ...project,
           totalCostCents: Math.round(totalCostCents),