Update docs on integrations with SDKs (+ AI SDKs)

[alwx]

Problem Statement

We've changed the definition a bit:

There are some integrations that are done in @sentry/browser.
They are also mentioned in the JS docs but we want to

1. check if they work with Sentry RN SDK as well
2. mention them in our docs and how to use them with RN SDK

The above mentioned AI SDKs include:

• openai
• anthropic-ai
• google-genai

All of them are here: https://github.com/getsentry/sentry-javascript/tree/develop/packages/node/src/integrations/tracing
Docs on JS integrations: https://docs.sentry.io/platforms/javascript/configuration/integrations/

Solution Brainstorm

No response

Are you willing to submit a PR?

None

[linear]

RN-372