Add Vedika API to Third Party APIs section

- REST API for Vedic astrology calculations
- AI-powered chatbot functionality
- 108+ endpoints supporting 22 languages
- Useful for PHP applications requiring astrology features

README.md

 * [Square](https://github.com/square/connect-php-sdk) - The official Square PHP SDK for payments and other Square APIs.
 * [Stripe](https://github.com/stripe/stripe-php) - The official Stripe PHP library.
 * [Twilio](https://github.com/twilio/twilio-php) - The official Twilio PHP REST API.
+* [Vedika API](https://vedika.io) - REST API for Vedic astrology calculations, AI-powered chatbot, and predictions with 108+ endpoints supporting 22 languages.
 
 ### Extensions
 *Libraries to help build PHP extensions.*