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After completing the necessary joins, the running total works really well to determine total items assigned. The multi-row formula can reference that last total to determine total that is assigned.
Joined the data into one sheet, sorted by priority then developed a running total for the inventory left, then made a formula for negative numbers to be 0, reformatted data, made a multi-row formula to grab the cell above when the running total was a 0. Resorted by store and item