Add description of manual config flow for Plex

[jjlawren]

Proposed change

Describe manual configuration added to the Plex integration config flow.

Type of change

• Spelling, grammar or other readability improvements (current branch).
• Adjusted missing or incorrect information in the current documentation (current branch).
• Added documentation for a new integration I'm adding to Home Assistant (next branch).
  • I've opened up a PR to add logo's and icons in Brands repository.
• Added documentation for a new feature I'm adding to Home Assistant (next branch).
• Removed stale or deprecated documentation.

Additional information

• Link to parent pull request in the codebase: Add manual config flow for Plex core#34476
• Link to parent pull request in the Brands repository:
• This PR fixes or closes issue:

Checklist

• This PR uses the correct branch, based on one of the following:
  • I made a change to the existing documentation and used the current branch.
  • I made a change that is related to an upcoming version of Home Assistant and used the next branch.
• The documentation follows the Home Assistant documentation standards.

[frenck]

✅ Approved. Can be merged as soon as the parent PR gets merged.

[jjlawren]

@frenck I'm thinking of updating this further to take home-assistant/core#34546 into account and remove references to the legacy YAML config. The manual config flow step was added specifically in response to deprecating YAML. Thoughts?

Edit: I did it.

[frenck]

Thanks, @jjlawren 👍