Update links in index.md for quick start and API

Author: NellowTCS

Docs/docs/index.md

@@ -63,7 +63,7 @@ Satori is available on [NPM](https://www.npmjs.com/package/@nisoku/satori-log)!
 ## Next Steps
 
 - [Interactive Demo](https://nisoku.github.io/Satori/demo/): Try Satori in your browser
-- [Quick Start](./getting-started/quickstart.md): Get up and running in minutes
-- [Configuration](./getting-started/configuration.md): Customize Satori for your needs
-- [API Reference](./api/core.md): Complete API documentation
-- [Examples](./guide/examples.md): Real-world usage patterns
+- [Quick Start](./getting-started/quickstart): Get up and running in minutes
+- [Configuration](./getting-started/configuration): Customize Satori for your needs
+- [API Reference](./api/core): Complete API documentation
+- [Examples](./guide/examples): Real-world usage patterns