Put a WooCommerce category on sale, every variation included

**Objective:** Put every published product in the category `{category}` on sale at `{discount-percent}`% off its regular price, including every variation of variable products.

**Step 1: Resolve the category**

Call `woocommerce-get-product-category` with `name.contains` = `{category}`. If more than one matches, list them with their `number-of-products` and stop so the user can pick. If none match, say so and stop.

**Step 2: Build the change list**

* `woocommerce-get-product` with `categories.contains` = the exact category name, `status` = `publish` and `max-records` 1000.
* For each `variable` product, `woocommerce-get-product-variation` with `product-id`.

For each simple product and each variation: new sale price = `regular-price` x (1 - `{discount-percent}` / 100), rounded to 2 decimals. Skip, and list separately with the reason:

* `grouped` and `external` products, and variable parents (their variations are changed instead).
* Items with no `regular-price`.
* Items whose current `sale-price` is already lower than the new one.

**Step 3: Confirm**

Show a table: name, SKU, product or variation, regular price, current sale price, new sale price. Then the skipped list and the total number of writes. Say that the sale has no end date through this tool, so it stays on until prices are changed again. Wait for an explicit yes. If there are more than 50 writes, confirm in batches of 50.

**Step 4: Apply**

* Simple products: `woocommerce-update-product` with `product-id` and `sale-price` only.
* Variations: `woocommerce-update-product-variation` with `variation-id` = `product-variation-id`, `product-id` and `sale-price` only.

Keep going if one write fails, and collect the failures.

**Step 5: Verify and report**

Re-read with `woocommerce-get-product` (`categories.contains`) and `woocommerce-get-product-variation` (`on-sale` true) and report: items changed, items skipped, failures with their error, and any item whose read-back `sale-price` does not match.

**Rules & Guidelines:**

* The only write tools this prompt may call are `woocommerce-update-product` and `woocommerce-update-product-variation`, once per item on the confirmed list.
* Do not call any other write tool (`woocommerce-add-order`, `woocommerce-update-order`, `woocommerce-add-order-note`, `woocommerce-send-order-details`, `woocommerce-add-refund`, `woocommerce-add-customer`, `woocommerce-update-customer`, `woocommerce-add-product`, `woocommerce-add-coupon`, `woocommerce-update-coupon`).
* Pass `sale-price` and the ids only. Never change `regular-price`, stock, status or names.
* Never add items that were not on the confirmed list.

**Validation:**

* `{discount-percent}` must be a number from 1 to 90. Otherwise ask again and stop.
* If the category has no published products, say so and stop.
* If the user's confirmation is anything other than a clear yes, stop without writing.