[V14] Content Picker does not respect local culture

[Migaroez]

Which Umbraco version are you using? (Please write the exact version, example: 10.1.0)

14.1.0-rc.preview.8

Bug summary

The content picker edit dialog shows the nodes in the culture selected in the tree menu, not the culture in the workspace which seems wrong.

Specifics

https://github.com/umbraco/Umbraco-CMS/assets/6025797/ca62ab1c-b060-44b6-b0e7-112eccc9066f

Steps to reproduce

• Set up at least 2 languages
• Set up an invariant document type
• Add at least 1 variant property with a content picker based data type.
• Create 2 pages in both languages (make the names distinct in all cultures)
• Go to one of the pages in your first language and pick an item. This should show the selectable items in the first language. => Save
• Now swap the workspace to the second language and try open the content picker => should display the first language instead of the second
• Close the picker
• Change the language in the content tree, without changing the language of the workspace
• Open the picker again => language is now correct. This should not be necessary

Expected result / actual result

I expect the property editors to get the culture of the workspace, not the tree. Makes even less sense as it currently is in a split view scenario.