I could not find a Power Automate cloud SharePoint action to move an item from one SharePoint list to another.
Since you mentioned that the lists are identical, a usable workaround is to build a flow that creates an identical copy of the item in the corresponding list then delete the original item. I think you also said that the Status column has choices Yes and No.
I created two identical Lists to test this approach.
'List Yes' and 'List No'. Here is screenshot of List No.
The flow starts when a list item is modified in the 'List No' list.
Check if the List item Status has been modified to Yes using a Condition action ...
If true, Create identical record in the other List, in this case List Yes ... if False do nothing
After creating the new item in the other list, delete the item in the original list (List No in this case)
After modifying Record 4, it is now in the 'List Yes' list.
You can create another flow that is based on 'List Yes' and do the same thing but in the opposite direction.
Hope this helps. Please let me know if you have any questions.