1H-2D-2S-3C
How seriously should the club bid be taken? If the answer is "Not very" then I have some other questins as we shall see.
Now I give you a hand, but in fact it is not as it stands very useful for the discussion.
Scoring: IMP
It is definitely not my purpose to criticize the 3C bid by N. He agrees w/o question that 2N was the bid that he should have chosen.
But now consider:
Scoring: IMP
It appears to me that 6C needs 3-2 rumps and no bad luck elsewhere: Win the opening trump lead with the ace, heart to ace, heart ruff, spade back, heart ruff low, spade back, heart ruff with last (high) heart, D ace, D ruff, draw last trump, take the third spade:
Three spades. two red aces, three ruffs, four clubs, that's twelve.
If the 3C bid is not to be taken seriously, just how do we get to 6C when N has clubs.
So forget the actual hand. Partner agrees that 2N was the right bid. I am concerned with my own options after 3C, given that partner might have been dealt the second hand.
For those interested, we ended in 5NT. As the cards lie (both black suits are 3-3) both 5C and 5S can be made, perhaps even 6S. 5N is more of a stretch. No one wants to be in any of those contracts obviously.
Added: It's true that over a 2N rebid I would bid 3C with my hand so maybe that's the answer. Still, it seems to me that since people sometimes get dealt diamonds and clubs, the 3C bid can be useful as showing clubs. Then, over 2S, 3D is a forcing bid w/o a club stop and 2N is a forcing bid with a club stop.

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