I'm afraid this wouldn't be compatible with the forethought sentence connective + BAI bo (which isn't currently grammatical, but which I proposed a while back):
(1) .i je gi broda gi bai bo brode
should be the forethought version of:
(2) .i broda .i je bai bo brode
I don't know why (1) is not grammatical even under current rules (with {ge} instead of {je gi} of course), and I feel it should be.
With {gi bai bo}, there'd be "ambiguity" (sa'e, a problem):
(3) .i je gi broda [gi bai bo] brode [gi brodi]
Is the [gi bai bo] a bridi-tail connective, or does it act as the seperator for the sentence-jeks as in (1)? If the former, then [gi brodi] must be added to finish the jeks and the option for BAI+bo as in (1) is lost entirely.