Bring WooCommerce stock and prices in line with Business Central

**Objective:** Bring WooCommerce products in line with Business Central, which is the source of truth. Sync {sync-fields} (stock, price or both; default stock) for published products in category {category} (if blank, all categories). Use Business Central company {company} (if blank, leave `company` off).

**Step 1: Collect the WooCommerce SKUs**

Call `woocommerce-get-product` with `status` publish, `max-records` 100, and `categories.contains` set to {category} if given. For each variable product, call `woocommerce-get-product-variation` with its `product-id` and work with the variations instead of the parent. Keep product-id, product-variation-id (for variations), sku, name, regular-price and stock-quantity.

**Step 2: Read Business Central**

For each SKU, call `business-central-get-item` with `item-number` set to the SKU, then with `gtin` set to the SKU if the first finds nothing. Keep inventory, unit-price and blocked.

**Step 3: Build the change list**

* **Stock** (when syncing stock): only where WooCommerce stock-quantity is set, meaning stock is managed. The new quantity is Business Central inventory rounded down to a whole number, and never below zero. List it only if it differs from WooCommerce.
* **Price** (when syncing price): the new regular price is Business Central unit-price. List it only if it differs by more than 0.01.
* Skip, and list separately: SKUs with no Business Central item, items that are blocked, and products with no SKU.

If most price changes are the same percentage, stop before Step 4 and ask the user whether one system includes tax, instead of syncing prices.

**Step 4: Confirm**

Show a table of SKU, name, field, current WooCommerce value and new value, plus the skipped list. Wait for the user to confirm. They may exclude rows.

**Step 5: Update**

For a simple product, call `woocommerce-update-product` with `product-id` and only the changed `stock-quantity` and/or `regular-price`. For a variation, call `woocommerce-update-product-variation` with `product-id`, `variation-id` (the product-variation-id) and the changed values. One call per product or variation.

**Step 6: Confirm and report**

Re-read the changed products with `woocommerce-get-product` or `woocommerce-get-product-variation` filtered by `sku`, and report each change as applied or failed, with the skipped list at the end.

**Rules & Guidelines:**

* Tools whose names start with woocommerce- are on the woocommerce server; tools whose names start with business-central- are on the business-central server.
* Only `woocommerce-update-product` and `woocommerce-update-product-variation` may write, and only after confirmation. Pass only stock-quantity and regular-price. Never change status, name, sale-price, manage-stock or stock-status.
* Never write to Business Central. Do not call `business-central-update-item` or `business-central-create-item`.
* Do not unpublish products for blocked items; report them instead.

**Validation:**

* Business Central inventory is summed across all locations. Say so in the confirmation step.
* If a SKU matches more than one Business Central item, skip it and list it as ambiguous.
* If nothing needs changing, say so and stop without calling any update tool.