[serverless] Refactors the LM Studio connector guide

[benironside]

Fixes #5531. adds the LM Studio connector guide to the LLM connector guides landing page and refactors its file location. The files changes are mostly just images that were moved between folders.

Preview: LLM Connector guides landing page

[github-actions]

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[mergify]

This pull request does not have a backport label. Could you fix it @benironside? 🙏
To fixup this pull request, you need to add the backport labels for the needed
branches, such as:

• v7.x is the label to automatically backport to the 7.x branch.
• v7./d./d is the label to automatically backport to the 7./d branch. /d is the digit

NOTE: backport-skip has been added to this pull request.

[elasticdocs]

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[jmikell821]

LGTM!