The exercise didn't necessarily feel easy to deduce within the 20 minutes I tried, but after asking LLMs (spoilers alert!):
1. How big of a hint is the name
2. How big of a help will choosing numbers manually be
3. How important is the number of dies
4. How familiar do I have to be with flowers
The answer to the riddle, and then to the questions I asked were immediately obvious. I feel kind of ashamed, haha.