Bump jellyfin-apiclient-python to 1.10.0

[RunC0deRun]

Proposed change

Bump the jellyfin-apiclient-python. This new version was published quite a while ago with some changes that should hopefully resolve some connectivity issues with newer version of Jellyfin. It never made it into the integration though.

The list of changes is not clearly listed on the jellyfin-apicliient-python GitHub, but basically this bump includes all changes from 2022 to August 2024: https://github.com/jellyfin/jellyfin-apiclient-python/commits/master/

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• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
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• 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

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Hey there @j-stienstra, @ctalkington, mind taking a look at this pull request as it has been labeled with an integration (jellyfin) you are listed as a code owner for? Thanks!

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