feat: Implement dynamic test-fix execution phase with adaptive task generation

- Added Phase 2: Test-Cycle Execution documentation outlining the process for dynamic test-fix execution, including agent roles, core responsibilities, intelligent strategy engine, and progressive testing.
- Introduced new PowerShell scripts for analyzing TypeScript errors, focusing on error categorization and reporting.
- Created end-to-end tests for the Help Page, ensuring content visibility, documentation navigation, internationalization support, and accessibility compliance.

.codex/skills/analyze-with-file/SKILL.md

@@ -957,6 +957,10 @@ Final synthesis:
 
 ## Best Practices
 
+### Core Principles
+
+1. **Explicit user confirmation required before code modifications**: Any operation involving code changes (including but not limited to file creation, editing, or deletion) must first present the proposed changes to the user and obtain explicit approval before execution. The analysis phase is strictly read-only — no code modifications are permitted without user consent.
+
 ### Before Starting Analysis
 
 1. **Clear Topic Definition**: Detailed topics lead to better dimension identification