refactor(docs): update links and restructure content for clarity

- Update internal links to remove extra path segments
- Restructure backend architecture documentation for better readability
- Reorganize sidebar sections for consistency
- Fix broken links and improve navigation flow

docs/en/stage-1/1.1-introduction-to-ai-ide/index.md

@@ -16,7 +16,7 @@ We'll first clarify **what the difference is between an IDE and an AI IDE**, and
 After completing this chapter, you'll have **mastered a development workflow similar to that of professional programmers**.
 
 ::: tip 💡 Advanced Tip
-If you have some programming experience and want to use more powerful tools early on, you can refer to [Modern CLI Coding Tools](../../stage-2/backend/2.6-modern-cli/extra7/) to develop using the command line.
+If you have some programming experience and want to use more powerful tools early on, you can refer to [Modern CLI Coding Tools](../../stage-2/backend/2.6-modern-cli/) to develop using the command line.
 :::
 
 </ChapterIntroduction>

docs/en/stage-1/1.2-building-prototype/index.md

@@ -253,7 +253,7 @@ This is what we need to figure out before writing code. Code is just a tool; **u
 ## 2. Generate Prototype in 10 Minutes: Let AI IDE Implement "Core Gameplay"
 
 ::: info Programming Plan Suggestion
-If you feel the current IDE isn't smart enough, or you run out of quota quickly, you can buy a **programming Plan**. Preview in advance by referring to [this article](../../stage-2/backend/2.6-modern-cli/extra7/) for programming with Claude.
+If you feel the current IDE isn't smart enough, or you run out of quota quickly, you can buy a **programming Plan**. Preview in advance by referring to [this article](../../stage-2/backend/2.6-modern-cli/) for programming with Claude.
 :::
 
 Thinking is good, but don't overthink. Let's control excessive reflection and try making a prototype starting from a single page.