As it went:
The good news is the the heart K is (of course, given the bidding) offside. The even better news is that spades are 4-2, dooming 4S. Still, the bidding needs work. Partner had a momentary lapse, thinking that his 2D was forcing. Well, a 2M call is certainly not forcing over the X, but perhaps an argument could be made for making a 2D bid a one round force. Let's forget that. Assume he starts with 2C.
No doubt I am a bit light (more than a bit?) for my takeout double, but it is mps and we are white against red. Partner would reasonably expect that unless I had a huge hand I would be at least 4-3 in the majors. Not this time, but usually.
So here is what I want to think about. Imagine North, after it goes (1C)-X-pass. Imaging N has a big hand, as he does, and five diamonds. Sometimes he also has a major, sometimes not. We want to sort it all out. How?
On this hand, presumably a good start is:
It would be nice if we always had an eight card fit in the majors and all we had to do is find it, but it is not always so. And then we need to see how high in diamonds, assuming 3NT is out.
But change the S hands a little
Maybe now N can bid 2S with a big hand and four spades, and 3S with a big hand and five spades?
Of course there are other variations, including some where N has the strength and the diamonds, but no four card major.
We are close to game. Change my heart Q to a hear K and it makes 5D. And makes 4S for that matter, as long as spades are no worse than 4-2.
So: Second hand doubles, fourth hand has a lot, we have to sort on which major if either we have, lacking that we have to sort on whether we can play 3NT, lacking that we have to sort on how high in diamonds.
How do we do all that?