A4.134: If the entry cost of a hex is defined as "all" of a unit's MF
and there is still yet another cost to be paid beyond that, a Minimum Move can still be made.
A4.15: An Infantry MMC may enter in the MPh a Location containing only one Known enemy SMC (unless that SMC occupies an AFV)
at double the normal MF cost provided it has passed a NTC to enable it to enter the Location [EXC: Berserk A15.432].
B16.4: Entry of a marsh hex from a lower elevation is a Minimum Move (A4.134).
I'd say it's a Minimum Move.
A4.134:
After a unit has entered a hex by Minimum Move
and undergone all First Fire, all survivors become both pinned and CX (even if CX previously).
And I'd say the CX & Pin comes after the Infantry OVR, as all MF are expended simultaneously and that increased MF expenditure represents the Infantry OVR occurring. (E.g., the MF wouldn't be increased if there weren't an Infantry OVR occurring.)
But seriously, JR, you're asking
us?