Fix Tado unique mobile device dispatcher

[erwindouna]

Breaking change

Proposed change

Add a unique dispatcher per mobile device, instead of running it on the generic dispatcher. This caused issues when users have multiple homes and multiple installations running on one HA installation.
Having an unique dispatcher per mobile device, based on the underlying home ID, will prevent a too generic dispatcher for all mobile devices. The generic dispatcher would load only the mobile devices known per home, and missed the mobile devices linked to a different entry.

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)
• Deprecation (breaking change to happen in the future)
• 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 Tado climate device showing "auto" #107544, fixes When I restart Home assistant tado integration couldn't set up #105890
• This PR is related to issue:
• Link to documentation pull request:

Checklist

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[home-assistant]

Hey there @michaelarnauts, @chiefdragon, mind taking a look at this pull request as it has been labeled with an integration (tado) you are listed as a code owner for? Thanks!

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[home-assistant]

Please take a look at the requested changes, and use the Ready for review button when you are done, thanks 👍

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[MartinHjelmare]

Thanks!

[erwindouna]

@MartinHjelmare It can be merged now. :)