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It would be good to support in Retail Owner Tracking dimension at least in similar scope like supporting BatchId.
According to document Owner tracking dimension is not supported in Retail:
https://docs.microsoft.com/en-us/dynamics365/commerce/work-with-store-inventory
There should be default value for Owner Id or by default it should be used current Company as Owner for retail Customer orders and Cash&Carry transactions.

Go to Tracking dimension group and activate Owner dimension .
STATUS DETAILS
Needs Votes
Ideas Administrator

Thanks for the feedback. We will continue to monitor the votes to determine its consideration into our feature backlog. - Boyce Zhu, Principal Product Manager for Dynamics 365 Commerce