I agree with 2N assuming you play a style where 2S does not show 6, otherwise I'd raise spades (obv).
I wonder if people like 3C or 3S over 2N, and if that's impacted by how natural 2C was (for instance if 2C is your bid with 2443 or 3433). If 2C showed real clubs then 3C seems pretty obvious at that point. Even if 2C could be a random balanced hand 3C might be the best bid as it pinpoints your values and saves some space, though obviously the missing 3rd club could cost you. Bidding 3S would be reasonable/normal of course, and of course 3N is not good.
Interestingly bidding 3C will probably lead you to 6C which is greatly inferior to spades even though them both a 6-2, so I'm sure nobody would do that when seeing both hands
Maybe west thought he had shown 6 with 2S, and east hadn't, either that or one of them made a pretty terrible choice.
Also, rebidding 3C would have gotten west to appreciate his hand a lot more, but it might also lead to 6C which is pretty terrible.
What about the auction 1S 2C 2S 2N 3S 4C, is that coming in spades or could it just be a slammish 1336? If east could use that auction as a cue west could bid 5C imo. However if it could be like 1336 18 then east would probably have to bid 4D. Again if 2C had shown real clubs I think west could do something here, but if 2C could have been a random balanced hand, west cannot really last train even with 2+Q. Overall this would be a gain for a style where 2C shows clubs (eg if 1M 2N was nat), but personally I dislike that style.
As noted it would also be a gain for a style where 2S showed 6, so east could set trumps and west could cuebid clubs, ez game.
1♠-2♣
2♠-2NT
3NT-4♣
4♠-AP
1♠ limited to 15