fix: Resolve all ESLint errors and warnings in web package

Fixes all 542 ESLint problems in the web package to achieve 0 errors and 0 warnings.

Changes:
- Fixed 144 issues: nullish coalescing, return types, unused variables
- Fixed 118 issues: unnecessary conditions, type safety, template literals
- Fixed 79 issues: non-null assertions, unsafe assignments, empty functions
- Fixed 67 issues: explicit return types, promise handling, enum comparisons
- Fixed 45 final warnings: missing return types, optional chains
- Fixed 25 typecheck-related issues: async/await, type assertions, formatting
- Fixed JSX.Element namespace errors across 90+ files

All Quality Rails violations resolved. Lint and typecheck both pass with 0 problems.

Files modified: 118 components, tests, hooks, and utilities

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

apps/web/src/components/dashboard/RecentTasksWidget.tsx

@@ -17,7 +17,7 @@ const statusIcons: Record<TaskStatus, string> = {
   [TaskStatus.ARCHIVED]: "💤",
 };
 
-export function RecentTasksWidget({ tasks, isLoading }: RecentTasksWidgetProps) {
+export function RecentTasksWidget({ tasks, isLoading }: RecentTasksWidgetProps): React.JSX.Element {
   if (isLoading) {
     return (
       <div className="bg-white rounded-lg shadow-sm border border-gray-200 p-6">