Request #8 Bothersome Bidoof requires you to hunt down some specific Pokemon. This guide on Where To Find The Bothersome Bidoof In Pokemon Legends Arceus will tell you where you can find each of the Bothersome Bidoof that are hiding around Jubilife village. You need to rally them up to complete the quest.
This request can be found on the board inside the professors room in the Galaxy Hall. I did this quest at night but it may also be available to complete during the day. You need to speak with the guard near the East gate, the one standing next to the storage chest. She will give you more information on the request as three Bidoof enter town and hide. You need to get a Bidoof for yourself, make sure its part of your team and then find each of the three Bidoof.
Bothersome Bidoof Location #1
Not far from the East gate, a few steps West of your Quarters. You’ll find the Bidoof hiding, facing into the wall of the final cabin.
Bothersome Bidoof Location #2
This one can be found a short walk South East of the farm. It’s behind the road of houses near the center of town.
Bothersome Bidoof Location #3
The final Bidoof is in the very South East corner of the town, while within the town walls. It’s gnawing on the fence of the Pastures.
As long as you have a Bidoof in your party, simply approach each one as you find them. This will complete the request.