jillybean, on 2025-February-07, 02:30, said:
Where do you get to using your favorite methods?
There are some subtleties on this auction. On hearing South's shape, North first needs to confirm the fit. North's hand is worth significant upgrades with the double fit and control in every suit. At the same time, South has a bunch of extras on the auction. The diamonds might be a source of tricks if North has ♦A or ♦J, and control in all suits helps. The ♥J is also nice.
Over 3♥, South makes a cheap control bid. North now skips 3NT (nonserious) in favour of 4♣ (serious). With the evaluation cited above this is a clear choice, though there's a fun double wriggle for experts, see end.
South now has to make a choice - 4♦ Last Train intending to bid on, or take charge. Note that there is no world where I'd bid Last Train and then pass 4♥ - the hand is too good, and partner's serious slam try pushes it even further past the line. In line with general principles I like South asking for key cards here, with the undisclosed source of tricks. Note that both hands have control of all suits, a rarity. Instead 4♦-then-bid-on (either 4♠ or 4NT) would say "partner, I have a bunch of extras, but I was hoping you could take charge" - typically aces and spaces. But South can see that North might need more information than just key cards for the slam, so this is a risky bet. There's also the option of bypassing keycards entirely, but on this deal I think that's not the right way to go. We have the trick-taking potential, we have the controls, all we need is the key cards.
On my auction South never learns of the double fit, though it was used by North to re-evaluate the hand to a serious slam try. I think this is a flaw in my methods, but not one I'm going to fix any time soon. Double fits on uncontested auctions aren't the greatest priority.
Double wriggle, for fun:
Spoiler