chore: add sponsorship doc

Author: mr-karan

docs/src/content/docs/index.mdx

@@ -32,4 +32,13 @@ hero:
 - Flexible query options including various DNS flags (AA, AD, CD, DO, etc.)
 - Debug mode for troubleshooting
 - Response time measurement
-- Cross-platform support (Linux, macOS, Windows, FreeBSD, NetBSD)
+- Cross-platform support (Linux, macOS, Windows, FreeBSD, NetBSD)
+
+## Sponsor
+
+If you find Doggo useful and would like to support its development, please consider becoming a sponsor on GitHub. Your support helps maintain and improve this open-source project.
+By sponsoring, you're not just supporting the development of Doggo, but also encouraging the creation and maintenance of free, open-source software that benefits the entire community. Every contribution, no matter how small, is greatly appreciated and helps keep this project alive and growing.
+
+[Become a GitHub Sponsor](https://github.com/sponsors/mr-karan)
+
+Thank you for your support! 🐶❤️