Toothpicks are in. Step 2 tomorrow night.
If that fails, I'd buy this wood filler and then put the screws back.
I literally have used this for so many things and bh always worked like a charm.
From fixing heavy pantry doors, to table legs, hinges, breakfront knobs, and many more.
They make a 3.5 oz and a 7 oz.
Depends for what and how much you need.
If you don't do such repairs the 3.5 oz will be more than enough.
Real life saver this little putty.
They make it for steel and plastic...
https://www.amazon.com/J-B-Weld-8257-KwikWood-Stick-1/dp/B002NJDAJY/?tag=cl03f-20&smid=ATVPDKIKX0DER