Fix netatmo_public sensor to use netatmo authentication

[cgtobi]

Description:

netatmo_public was broken due to changes in #23429.

Related issue (if applicable): fixes #23474

Pull request in home-assistant.io with documentation (if applicable): home-assistant/home-assistant.io#<home-assistant.io PR number goes here>

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[SiliconAvatar]

Any reason this isnt in the 0.92.2 milestones?
This fix should probably be pushed out in the 0.92.2 patch.

[andrewsayre]

@SiliconAvatar it's now tagged.