docs: reorganize README structure - move AI-to-AI section for better flow

• Moved AI-to-AI Conversation Threading section after "Start Using It\!"
• Now appears before Available Tools for logical progression
• Users learn basics first, then discover advanced collaboration features
• Improves documentation flow and user experience

🤖 Generated with [Claude Code](https://claude.ai/code)

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

README.md

@@ -163,6 +163,20 @@ The setup script shows you the exact configuration. It looks like this:
 
 **That's it!** The Docker setup handles all dependencies, Redis configuration, and service management automatically.
 
+### 5. Restart Claude Desktop
+Completely quit and restart Claude Desktop for the changes to take effect.
+
+### 6. Start Using It!
+
+Just ask Claude naturally:
+- "Use gemini to think deeper about this architecture design" → `thinkdeep`
+- "Get gemini to review this code for security issues" → `codereview`
+- "Get gemini to debug why this test is failing" → `debug`
+- "Use gemini to analyze these files to understand the data flow" → `analyze`
+- "Brainstorm with gemini about scaling strategies" → `chat`
+- "Share my implementation plan with gemini for feedback" → `chat`
+- "Get gemini's opinion on my authentication design" → `chat`
+
 ## AI-to-AI Conversation Threading
 
 This server enables **true AI collaboration** between Claude and Gemini, where they can coordinate and question each other's approaches:
@@ -200,20 +214,6 @@ This server enables **true AI collaboration** between Claude and Gemini, where t
 - Up to 5 exchanges per conversation with 1-hour expiry
 - Thread-safe with Redis persistence across all tools
 
-### 5. Restart Claude Desktop
-Completely quit and restart Claude Desktop for the changes to take effect.
-
-### 6. Start Using It!
-
-Just ask Claude naturally:
-- "Use gemini to think deeper about this architecture design" → `thinkdeep`
-- "Get gemini to review this code for security issues" → `codereview`
-- "Get gemini to debug why this test is failing" → `debug`
-- "Use gemini to analyze these files to understand the data flow" → `analyze`
-- "Brainstorm with gemini about scaling strategies" → `chat`
-- "Share my implementation plan with gemini for feedback" → `chat`
-- "Get gemini's opinion on my authentication design" → `chat`
-
 ## Available Tools
 
 **Quick Tool Selection Guide:**