An engine, fuel injector, and method are disclosed. The method may include aligning an exhaust gas passage with an exhaust gas source to allow exhaust gas to enter a pre-chamber for a first duration; aligning a fuel passage with a fuel source to allow fuel to enter the pre-chamber for a second duration; and aligning injector nozzle connectors with injector nozzles, for a third duration, to allow a mixture of the fuel and the exhaust gas to be injected from the pre-chamber to the combustion chamber.