I use casco strong professional 24h epoxy. (araldite) I also use sauna with 70 celcius for quick/hard drying
the glue.
TBB and other PVA type wood glues do not fill gaps well, so they may not work
that well, if you have bad fitting, but of course with good fittings they are more
durable that the wood they glue.
Gap filling can be made better by dipping the wood to glued under water for 2 days and
then be hammered together and left to dry. After drying they can be taken apart and epoxied together.
(or with wood glue the drying may be done only partially, since the glue is water based.)
I use Z-splice, since it feels like being marginally easier to cut than w, but i do not think the difference is major.