Update all examples details and links in examples.md

[EnggQasim]

Title: Enhance example.md: Add Direct Links to Example Topics and Sub-Topics

Description:

This pull request updates the example.md file to include direct links to each example topic and its corresponding sub-topics within the repository. By providing these links, users can navigate more efficiently to specific examples, enhancing the overall usability of the documentation.

Changes Introduced:

• Agent Patterns:

  • Added links to examples demonstrating common agent design patterns, such as agents as tools, deterministic workflows, and parallel agent execution.

• Basic:

  • Included links to foundational SDK capabilities, including dynamic system prompts, streaming outputs, and lifecycle events.

• Tools:

  • Provided links to implementations of OpenAI-hosted tools like web search and file search, and guidance on integrating them into agents.

• Model Providers:

  • Linked to examples illustrating the use of non-OpenAI models with the SDK.

• Handoffs:

  • Added links to practical examples of agent handoffs.

• Customer Service and Research Bot:

  • Inserted links to more comprehensive examples that illustrate real-world applications, such as a customer service system for an airline and a simple deep research clone.

Benefits:

• Improves navigation within the example.md, allowing users to quickly access specific examples.
• Enhances the clarity and organization of the documentation.
• Facilitates a better understanding of the SDK's capabilities through direct access to relevant examples.

Testing:

• Verified that each link directs to the correct example file or directory within the repository.
• Ensured that the example.md renders correctly with the new links.

Additional Notes:

• No functional code changes are introduced in this pull request; it solely focuses on documentation enhancement.

By merging this pull request, we aim to provide users with a more intuitive and efficient way to explore the examples provided in the repository.

@rm-openai pls review it :)