[Request] Update Docs for Connecting Local LLM

[Charelzard]

Description

Use the following google document to update all text blocks that are highlighted yellow, also make updates for comments regarding new screenshots. Video (Vidyard Link) is in the google doc as well.

https://docs.google.com/document/d/1zUwBpb6CHmT3iCLMHVs_WWP7uYGr95zM_w6GmyxIg64/edit?usp=sharing

Page to update: https://www.elastic.co/guide/en/security/current/connect-to-byo-llm.html

Background & resources

N/A

Which documentation set does this change impact?

ESS and serverless

ESS release

N/A

Serverless release

N/A

Feature differences

N/A

API docs impact

N/A

Prerequisites, privileges, feature flags

N/A