I am currently working on a project that involves using React Hook Form for managing form state in a React application. While I have gone through the documentation, I am finding it a bit challenging to implement certain features.

Could you please provide me with a detailed example or sample code that demonstrates the following:

1. Setting up a simple form with validation.
2. Handling form submission.
3. Managing form state and errors.
4. Integrating with third-party libraries (if applicable).

Your assistance would greatly help me in understanding the best practices and nuances of using React Hook Form effectively.

Thank you for your time and support.