1. If stores share the same category ID but have completely different products, Tagalys supports independent sorting (Different sort orders per store). 
  2. If all the product IDs are the same, then one of the stores should be configured as the primary store during the initial setup. Tagalys will update product positions across all stores based on the primary store. 
  3. Tagalys does not currently support the case where different store IDs use the same category IDs, with some common product IDs and some different product IDs.