You get one month to prepare. For the geese, you only can use your bare hands and all three will come at you at the same time. For the bear, you can use any one weapon invented before 500 AC.
You receive $100,000 for each goose killed, or $10,000,000 if you kill the bear.
Oh come on, even if it worked, OP was going to miss or not critically wound it. I’d assume spare arrows would count as extra, and reloading takes time a bear won’t allow.
The spear actually was the preferred choice by people who did this.