Add Spring AI to third-party clients list

Signed-off-by: Thomas Vitale <[email protected]>

Author: ThomasVitale

docs/getting-started/clients.mdx

@@ -86,6 +86,7 @@ We recommend reaching out to the respective maintainers for any assistance or in
 
 ### Java
 [langchain4j](https://github.com/langchain4j/langchain4j)
+[Spring AI](https://github.com/spring-projects/spring-ai)
 
 ### JavaScript / TypeScript
 [Vercel AI SDK](https://github.com/vercel/ai)