One-time Shopify Admin API script: Bulk unpublish zero-stock products

​I need a simple, one-time Admin API script run on my Shopify store (notionz.ie) to unpublish all products from the Online Store sales channel where every variant currently has zero inventory. ​Please start your proposal with the word "Notionz" so I know you have read this brief and are not an automated bot. ​Scope — exactly this, nothing more: ​Query all products where all variants have inventoryQuantity ≤ 0. ​Set those products to unpublished on the Online Store channel only. ​Provide a count of products affected before and after. ​Completed in a single session, no ongoing access required. ​Context: Shopify Flow is already set up to handle unpublishing/republishing automatically going forward. This is purely a one-time backfill to sync current zero-stock products. ​What I need from you: ​Fixed price: €50 budget (this is a simple script, not a full project). ​Approach: A brief, 1-2 sentence explanation of how you will execute this before I grant store access. ​Timeline: Completed within 48 hours of hiring. ​Not looking for theme work, app recommendations, or an ongoing retainer at this stage — though I am open to building a long-term relationship with the right developer for future needs.