It's been a pretty even game overall. When our bowlers have dismissed all or most of England's top order, Root and Stokes have turned it around. When it looked as though we'd go through and make 600+ plus, England's bowlers turned it around. At this stage, the most appropriate outcome would be a draw.
I think England should look at carefully adding 60-70 in the morning session, get a few overs at NZ before lunch and set a target of 350-360 in 70 theoretical overs. Baz would take it on, I think, and we're still not immune to spectacular batting collapses. I wouldn't necessarily open with Baz either, ftr, and the only case for doing so would be to relieve a tired Latham of the role. Having him down the order able to finish off a big run chase or steer us away from collapse would be more beneficial than having 70 (40) and relying on Williamson, Taylor, Anderson and a one legged Watling to get the runs in quick-time. Guptill can be a dasher, and I think we should let the top order get a bulk of the runs rather than go with the temptation of a Baz special to obliterate the game our way. Sure, that's the biggest gamble and the one way that seems most likely to give NZ a win 'given how they play' but there's more than one way to skin a cat.