Leave Everything to Honey!
It turns out that Honey the dog actually needs a Great-Quality Sugar Bow for Roy. Track one down and give it to her.
Goal
Sugar Bow × 1Reward
Antenna Lantern × 1Chain
After 
Honey, Fetch Me a Bow!
Leads to Honey Tries Again
Dialogue
HoneyYap! Yap-yap! Yap.
(Oh dear. I'm afraid I misheard Roy.)
(He actually wanted a Great-Quality Sugar Bow, not
a Great-Quality Pine Bow!)
(If you can get one for me, I'll give you 7300 Dosh
and an Antenna Lantern. OK?)
[Choice: Accept / Decline]
HoneyYap!
(Roy's gonna love his new Great-Quality Sugar Bow!)
Honey*whine*
(You're in my doghouse, pal.)
HoneyYap! Yap! Yap!
(Yes! You got the Great-Quality Sugar Bow!)
(Roy will be so happy. Can I have it now?)
[Choice: Hand over / Keep for now]
HoneyYap yap!
(Thank you! Roy is gonna love this bow...I know it!)
Honey*whine*
(This isn't how you play fetch!)
HoneyYap yap yap-yap!
(I can't wait to give this to Roy... He's gonna love it!)