Three programmes, one borrower profile
Each option is sized under its own rules and amortised on the term it actually offers, rather than a common one. The lowest payment and the lowest total cost are usually different options -- the badges mark each separately.
The lowest monthly payment belongs to whichever option amortises longest, not whichever carries the lowest rate. Lowest total cost usually goes the other way. Lowest cash to close is a third answer again, and for most buyers it is the binding constraint -- the cheapest loan is irrelevant if closing it takes every dollar of reserves.