time and materials contract
https://mytimematerialscontractbase.almoheet-travel.com/how-to-navigate-a-time-and-materials-contract-for-project-success
A time and materials contract is like paying for a plumber by the hour plus the cost of parts; you cover the labor and materials used, making it flexible for projects where the full scope isn't clear upfront, but you also don't have a fixed budget.