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Bergen himself invented BROMAD to deal with 1M-(X). Workable, but I prefer Cappelletti (no, not the Cappelletti that's used over opponents' 1NT opening, a different one), probably because I learned it first and because I like transfers. I think Bergen recommends Bergen raises be off after an overcall. In any case, if you don't have an agreement, you need to make one.
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Need partnership agreement for all levels and types of interference. My preference after a double :

system on in entirety.

 

My preference after natural simple or single jump overcall is :

X and up to suit below partner's = transfer to next step (eg 1 (1) X = transfer to NT, while 1NT = transfer to clubs)

.. with a transfer to partner's suit being "full strength", ie transfer to 2M is 3 card 7-10 hcp, and ..

immediate support = weaker

new suit above next level of partner's = natural, forcing unless passed

2NT = 3 card support 11+ hcp

opponent's suit = 4+ card support 9+ hcp

raise to 3+level = 4+card support, up to 8hcp

jump (or double jump) new suit = fit jump = 5 card suit with a raise hand good enough for that level.

 

So applying this to your Bergen bids, 1 (1) 3 = fit jump, but 1 (2) 3 is forcing natural suit.

Your Bergen hands are likely to be 1 (1) 2 (or 3 if you bid them that weak).

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