I use Titebond (or Elmers or Gorilla wood glue) it works well on porous surfaces, gives you plenty of time to align the parts and cleans up easily with water.
Use small amounts from a drop you put on a small piece of cardboard, use a toothpick to put the glue on the contact surfaces, then attach only two pieces at a time, allowing those pieces to fully harden before putting the next two pieces together.
I use clay to hold small pieces in position while they dry.
I am a model builder and old stuff restorer - so this is my best advice.
Good luck!
Good advice.
I’ve used old fashioned Duco Cement to make such repairs. Set time is slower than super glue. And it is clear.
Glue doesn’t stick to clay?