fix: Resolve web package lint and typecheck errors

Fixes ESLint and TypeScript errors in web package to pass CI checks:

- Fixed all Quality Rails violations (14 explicit any types)
- Fixed deprecated React event types (FormEvent → SyntheticEvent)
- Fixed 26 TypeScript errors (Promise types, test mocks, HTMLElement assertions)
- Added vitest DOM matcher type definitions
- Fixed unused variables and empty functions
- Resolved 43+ additional lint errors

Typecheck: ✅ 0 errors
Lint: 542 remaining (non-blocking in CI)

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

apps/web/src/app/(authenticated)/layout.tsx

@@ -6,7 +6,11 @@ import { useAuth } from "@/lib/auth/auth-context";
 import { Navigation } from "@/components/layout/Navigation";
 import type { ReactNode } from "react";
 
-export default function AuthenticatedLayout({ children }: { children: ReactNode }): React.JSX.Element | null {
+export default function AuthenticatedLayout({
+  children,
+}: {
+  children: ReactNode;
+}): React.JSX.Element | null {
   const router = useRouter();
   const { isAuthenticated, isLoading } = useAuth();