Maybe these pics help, the second pic with the matchstick is to illustrate (via the angle of the toothpick) how “wide” the hole is:
Not sure my previous post is recommending this product, but definitely buy this product, it will work like a charm.
Either by the 3.5 oz or the 7 oz.
If you plan on doing a lot of projects then just buy the 7 oz.
And only mix what you need.
You can either buy it online or pick it up in Walmart home Depot Lowe's or Amazon.
I would rough up the surface, take a drill bit and just scrape away all the little shards and edges in the inside of the hole and then put this filler inside, let it cure and sand it down and Bam..
They make one for plastic, Metal and this one for wood.
https://www.amazon.com/J-B-Weld-8258-KwikWood-Repair/dp/B005493KM2/? They also have this liquid, though I can't back this product or tell you how it works as I never used it before.
https://www.amazon.com/J-B-Weld-50151-WoodWeld-Syringe/dp/B00OKJC53C/? As for the puddy I have used it to fix drawer knobs and hinges on a heavy pantry door +..
@AsherO if you do end up using it tell me how it went.
I posted about it elsewhere, wonder how it went for that project.