fix: resolve all typecheck, lint, and test failures

- Add @types/node to packages/db devDependencies (typecheck was missing process)
- Re-export drizzle-orm helpers (eq, gte, etc.) from @groombook/db to avoid
  duplicate-instance type conflicts; remove drizzle-orm direct dep from API
- Add @hono/zod-validator and jose as direct API dependencies
- Merge duplicate @groombook/db imports in all route files
- Fix noUncheckedIndexedAccess errors: appointments PATCH, web calendar grid
- Fix weightKg/dateOfBirth type conversion in pets route (numeric→string, string→Date)
- Add eslint.config.js for API and web (ESLint 9 flat config format)
- Add vitest.config.ts with passWithNoTests for API and web

Co-Authored-By: Paperclip <noreply@paperclip.ing>

apps/web/eslint.config.js

@@ -0,0 +1,11 @@
+import tseslint from "typescript-eslint";
+
+export default tseslint.config(
+  ...tseslint.configs.recommended,
+  {
+    rules: {
+      "@typescript-eslint/no-explicit-any": "warn",
+      "@typescript-eslint/no-unused-vars": ["error", { argsIgnorePattern: "^_" }],
+    },
+  }
+);

apps/web/src/pages/Appointments.tsx

@@ -268,7 +268,7 @@ export function AppointmentsPage() {
                 </button>
               </div>
               <div style={{ padding: "0.3rem" }}>
-                {apptsByDay[i].map((a) => {
+                {(apptsByDay[i] ?? []).map((a) => {
                   const svc = services.find((s) => s.id === a.serviceId);
                   const cli = clients.find((c) => c.id === a.clientId);
                   return (

apps/web/vitest.config.ts

@@ -0,0 +1,7 @@
+import { defineConfig } from "vitest/config";
+
+export default defineConfig({
+  test: {
+    passWithNoTests: true,
+  },
+});