None of them decides it by itself. USCIS makes the EB-1 or EB-2 determination on the evidence of the qualifying gift and eligibility, and visa availability follows chargeability rules applied to your recorded facts. Declare each citizenship; choosing a passport does not choose a category or a queue.
Why a second or third passport changes less than expected
Picture a Boisbriand engineer who could apply on any of three travel documents and assumes the newest one shortens the wait. It does not. The Gold Card process still requires lawful permanent resident eligibility, admissibility and an available visa, and vetting looks at the whole person behind all of those documents. The practical move is to raise category and chargeability with a qualified representative at the start, so the file is built for the queue that will actually apply.
The official program description sets out a sequence: submit an application and processing fee, undergo vetting, make the gift, and if found eligible receive permanent residence through an employment-based category. The framework then operates through the existing employment-based first and second preference classifications rather than creating a new category of its own, and it should never be described as an investment or confused with EB-5, where capital goes into a business and must create jobs.