Any oily wood can be cleaned with acetone to remove the excess oil before glue is applied. Why not try on a couple of small scraps with the Titebond III as a test? Another thought is gorilla glue bonds anything, but I would still clean the wood with acetone first. If you get any run out from the gorilla glue let it harden completely. The foamy dried glue comes off in a snap. Again, you should have enough small scraps from your project to test them both. I would like to hear your results.