There will be no elimination. There
may be a prioritization. I'm not entirely sold on sequential presentation yet, since I've been looking at the game theory and not liking a lot the possible results, in that they could quite easily not reflect the actual desire of the board.
Example:
50% of the people on the board prefer A. 40% prefer B. 10% prefer neither.
Assuming half of each of the first two groups would be OK with the other proposal, while half exclusively support theirs, it would appear that there should be enough support for A (70%) to pass it. But if A is put forward first, then B supporters who would prefer B but who are OK with A could decide to vote no in the hopes that B will come up, which is perfectly reasonable. Then we're left with 65% support for B, and nothing gets passed, even though only 10% of the people wanted that!
I think the problem of preference is better handled (short of a Faramond-style dissection) by simultaneously putting both forward with the stated rule:
If only one gets 67%, it is approved. Duh.
IF A and B both get 67%, there will be a runoff between them. This would be a simple majority runoff, as the 67% has already been acheived.
IF neither A nor B get 67%, nothing is approved.
And then telling people to vote for both independently, that is, if they want to vote yes on both, it's OK.