For top bracing, the only glues I could really recommend as working right would be white glue, yellow glue, CA, hide glue, fish glue, epoxy, and polyurethane. I'm not really sure on any of the other ones, but I'm certain a proper application of any of the above will work just fine for you
For jointing a top, I'd personally cut fish, epoxy, and polyurethane from the list for cosmetic reasons but I'm sure there's somebody somewhere who gets invisible glue lines with those as well. White glues are the easiest to get an invisible line with in my experience.