Enhance README & Update Awesome AI Coding Tools List

[hrnrxb]

Key Updates to "Awesome AI Coding Tools" List:

• New Categories Added: Introduced new, highly relevant sections to broaden the list's scope:
  • AI for Data & Database Management
  • AI for Game Development
  • AI for Web Development
• Added Trending Tools: Integrated several new and impactful tools into existing and new categories, ensuring the list remains current:
  • LLM Code Models: DeepSeek-Coder, Qwen 3 coder.
  • Natural Language to Code Tools: Magick, Axiom.
  • Coding Agents: AutoGPT, Open Interpreter, Devin by Cognition AI, Agent Protocol.
  • Testing & QA Tools: Testim.io.
  • Documentation Tools: mintlify.
  • And various new tools within the newly added categories.
• Hyperlink Fixes in Table of Contents: Corrected the internal hyperlinks in the "Table of Contents" for "AI for Data & Database Management" and "MCP Server & Tools" by removing emojis from the href attributes and ensuring exact ID matching, resolving navigation issues.

@tokyo-dal @ElKornacio @mikestaub @SebConejo @marykatefain @allandiegoasilva