[barsikb]

Hope everyone is well here. I am back with many more questions to you, dear experts

How would you bid this hand, please? North is declarer.

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[Mbodell]

Lots of choices. Maybe:

1♥=2♦
2♥=3♦
3♥=3♠
3nt-4♥
4nt-5♥
6♥

2/1 natural game forcing, rebidding hearts shows 6, with good suits repeat the reds an extra time, 3 spades is initially thought by N as a probe for 3nt but is revealed as a slam cue for hearts with the pull to 4hearts, keycard and 6.

But I could also see:
1♥=2♦
2♥=3♦
3nt

Or
1♥=2♦
2♥=3♦
3nt=4♥

Or
1♥=2♦
2♥=3♥
3nt=4♦
4nt=5♥
6♥

[Antrax]

Mbodell gives fine auctions, but when I was a beginner I wouldn't have been able to parse this: "3 spades is initially thought by N as a probe for 3nt but is revealed as a slam cue for hearts with the pull to 4hearts, keycard and 6."
So, basically what it means is that after 3♥, if the sides don't have a fit (N doesn't know that they do), it makes sense for them to try and play 3NT on sheer power. So, 3♠ shows a stopper in spades (or shows in clubs and asks for spades, matter of agreement). N, assuming they're in a misfit and holding the desired club stopper, bids 3NT. Now S suddenly bids 4♥. Since S is the one who asked for NT with his spade bid, pulling to hearts is a surprise. In this case, showing heart support (two cards at most, since with three he'd have supported hearts instead of bidding 3♦). Since he didn't raise 3♥ to 4♥ directly, he is probably trying for slam, with a spade control.
I hope I didn't explain the obvious.