Only the Send Inventory Levels Action will work for adjusting inventory levels. The unique identifier is the SKU field in WooCommerce.
1. Sync inventory only Standard Products (Send Standard Levels Inventory Action)
2. Sync inventory only Matrix Products Action. (Send Matrix Inventory Action)
Note: simple update price or inventory to give the item a new time_stamp.
See example below for WooCommerce (non multiple locations) inventory sync.
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