Given its choice not to overcall 2nt at this vul, (fine, whatever), shouldn't it take advantage of this and pass the takeout double for 1100? Pretty clear at these colors with the excess strength IMO.
And if not going to pass, should it not bid 3nt to simplify the auction? I don't think 15 is too strong for 3nt, despite the possibility as here of missing a slam. I don't have to have the CJ. Why the nebulous 3♠, which should be very low priority?
Also, I don't think South's 4 level bids are very well defined after the cue bid. Probably I am supposed to bid 4d in theory opposite a better defined cue bid, not 4h. But *all* of South's bids I believe show a "rebiddable" suit, e.g. 5+ cds? I think after a cue it should just be a 4 cd suit, although hearts is arguably 5 here.

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