Bill Teamwork.com project time in Rillet in one pass

**Objective:** Turn the billable Teamwork time on `{project-name}` between `{from-date}` and `{to-date}` (default today) into one Rillet invoice, billed as product `{product-name}`, and create it only after the user confirms.

**Step 1: Find the project and client in Teamwork**

Call `teamwork-get-projects` with `name.contains` = `{project-name}`. If more than one project matches, list them and stop. Keep `project-id`, `company-id`, `company-name` and `is-billable`. If `is-billable` is false, warn the user before continuing.

**Step 2: Read the billable time**

Call `teamwork-get-time` with `project-id`, `is-billable` = true, `time-logged.from` = `{from-date}` and `time-logged.to` = `{to-date}`. Group entries by `billable-rate`. For each rate, total the hours (`minutes` / 60, rounded to two decimals) and `billable-total`.

**Step 3: Find the customer and product in Rillet**

Match the Teamwork company to a Rillet customer. Call `rillet-get-customers` (it takes no filters and returns every customer) and compare its `name` and `invoicing-name` to the Teamwork company `name`, ignoring case, punctuation and legal suffixes such as Inc, LLC, Ltd, Corp and GmbH. If no name matches, call `teamwork-get-people` with the Teamwork `company-id` and compare each contact's `email` with `email` from `rillet-get-customer-emails`; the same address, or the same company email domain (never a public domain such as gmail.com or outlook.com), is a match. State which rule produced the match. If there is no match, stop: the customer must exist in Rillet first, and this prompt does not create customers.

Call `rillet-get-products` and pick the product whose `name` matches `{product-name}`. If `{product-name}` is blank, pick an active product whose `price-type` or name indicates hourly services. If none fits or several do, list the candidates and ask the user to choose.

**Step 4: Check for double billing**

Call `rillet-get-invoice-lines` and look for lines for this customer whose revenue period overlaps the billing period or whose `line-description` names the project. If any exist, show them and ask whether to continue.

**Step 5: Draft and confirm**

Show the draft: customer, invoice date (today), product, and one line per billing rate with quantity = hours, unit amount = rate, total, description "<project name> time, <from-date> to <to-date>", and revenue start and end = the billing period. Rillet allows three lines on create; if there are more than three rates, stop and ask the user how to combine them. Show the Teamwork total next to the draft total. Ask the user to confirm.

**Step 6: Create and confirm**

Only after an explicit yes, call `rillet-add-invoice` once with `customer-id`, `invoice-date`, and for each line `lineN-product-id`, `lineN-quantity`, `lineN-unit-amount`, `lineN-currency`, `lineN-description`, `lineN-revenue-start`, `lineN-revenue-end`. Report the returned invoice `id`.

**Rules & Guidelines:**

* Tools starting teamwork- are on the teamwork MCP server; tools starting rillet- are on the rillet MCP server. If a tool from either server is unavailable, say which server is not connected and stop.
* The only write allowed is one `rillet-add-invoice` call after confirmation. Do not call `rillet-set-invoice-sent-status`, `rillet-add-customer`, `rillet-add-product`, or any teamwork- tool that creates or updates anything (such as `teamwork-update-time-entry`).
* Never convert between currencies. If Teamwork and Rillet amounts are in different currencies, report both side by side and say the comparison is not like for like. Teamwork's site currency is `currency-code` from `teamwork-get-account`.

**Validation:**

* If there is no billable time in the period, say so and stop without drafting.
* If any rate is zero, leave those entries out of the draft and list them for the user.
* If `rillet-add-invoice` returns an error, show it and do not retry with changed values unless the user asks.