QuikWood is a product that works well in this situation. Its available from Pinball Life, Amazon, etc. JB Weld makes a similar product called Kwikwood. If you do a forum search for either QuikWood or Kwikwood you can see a lot of example uses.
https://www.pinballlife.com/quikwood-wood-repair-epoxy-putty.html
https://www.amazon.com/Quick-Wood-471050-24-QuikWood-Putty/dp/B000VPO0R8/ref=sr_1_3