Improve Plex media_player entity naming

[jjlawren]

Proposed change

Current naming of Plex media_player entities does not provide enough information, making it difficult to identify them and potentially creating many duplicates. This is especially true for users that share their Plex server.

A user watching through a Plex Web client on Chrome would previously be named media_player.plex_chrome. Additional similar clients would be named media_player.plex_chrome_2, media_player.plex_chrome_3, etc.

This PR:

1. Inserts the username if it is a shared or managed user.
2. Adds more detail on the type of client playing.
3. Conditionally adds more context if a common player is in use (Plex Web for now).

If the above client was playing from a shared account, the new name would now be something like media_player.plex_myfriend_plex_web_chrome_osx.

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New integration (thank you!)
• New feature (which adds functionality to an existing integration)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Additional information

• This PR fixes or closes issue: fixes #
• This PR is related to issue:
• Link to documentation pull request:

Checklist

• The code change is tested and works locally.
• Local tests pass. Your PR cannot be merged unless tests pass
• There is no commented out code in this PR.
• I have followed the development checklist
• The code has been formatted using Black (black --fast homeassistant tests)
• Tests have been added to verify that the new code works.

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