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Gazzilli: Continuations after showing 5-5 - forcing or not

West
5
KQ1097
AQ742
K5
East
QJ10762
A4
9
AQ32
W
N
E
S
1
P
1NT
P
3
P
3
P
P
P

Playing Gazzilli, the common treatment (as far as I know) is that 1 - 1x  - 3m shows 5-5 and intermediate hand. We agreed to play this as 14-16, but unfortunately didn't discuss subsequent bidding.

In the sequence above responder thought that 3 is GF while opener had another opinion... Of course, 3N, 4 and 4 were cold. So the question is whether 3 in this situation should be forcing or not.

If 3 is forcing then what should we do with something like KQJxxxxx x x Jxxx ?

And if this is not forcing it looks like responder just have to guess between 3NT, 4 or 4.

Is there any other solutions?

If this matters we play that 1 - 2 is weak, showing 3-6 HCP and 6

Forcing
Not forcing

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