The dealership stated that I needed a Fuel Induction Service a three-part fuel system service?

Well, it's not something that is required by Infinity. You basically have it correct. It involves cleaning the throttle body (actually a good idea but not "required") then they add a cleaner to the fuel tank (I prefer to just dump in a half can of Berryman's myself as it works better) and then either using an injector cleaner or similar to clean out any deposits. If the engine is a GDI system (gasoline direct injection) then I can see this being done because there is no fuel to wash the built-up crud from the PCV system off the valves and they start sticking and causing problems. However, on a conventional port injected engine like yours anything beyond cleaning the throttle body isn't really needed. And that can usually be done easily on most engines.

https://www.2carpros.com/articles/throttle-actuator-service

It's a great product that actually works as it says it does. Not a common thing for that type of product.