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.ts

@@ -1,3 +1,4 @@
+import type { z } from "zod";
 import { projectCostReadProcedures } from "./project-cost-read.js";
 import { projectCoverProcedures } from "./project-cover.js";
 import { projectIdentifierReadProcedures } from "./project-identifier-read.js";
@@ -21,13 +22,20 @@ export const projectRouter = createTRPCRouter({
   ...projectCoverProcedures,
   ...projectIdentifierReadProcedures,
   ...createProjectLifecycleProcedures({
-    invalidateDashboardCacheInBackground: projectBackgroundEffects.invalidateDashboardCacheInBackground,
+    invalidateDashboardCacheInBackground:
+      projectBackgroundEffects.invalidateDashboardCacheInBackground,
     dispatchProjectWebhookInBackground: projectBackgroundEffects.dispatchProjectWebhookInBackground,
   }),
   ...createProjectMutationProcedures(projectBackgroundEffects),
 
   list: controllerProcedure
-    .input(ProjectListInputSchema)
+    .input(
+      ProjectListInputSchema as z.ZodType<
+        z.infer<typeof ProjectListInputSchema>,
+        z.ZodTypeDef,
+        z.input<typeof ProjectListInputSchema>
+      >,
+    )
     .query(({ ctx, input }) => listProjects(ctx, input)),
 
   getById: controllerProcedure
@@ -37,5 +45,4 @@ export const projectRouter = createTRPCRouter({
   getShoringRatio: controllerProcedure
     .input(ProjectShoringRatioInputSchema)
     .query(({ ctx, input }) => getProjectShoringRatioData(ctx, input)),
-
 });