The fastest way to learn a new technology is using it, but a not-so-distant second is looking at projects that experienced developers and designers have already created: for a few great samples in Flare, have a look at https://github.com/2d-inc/Flare-Flutter/tree/master/example.
In this chapter, you've built a simple game using Flare. If you are interested in developing games with Flutter, you'll probably be glad to know that there's also a gaming engine that can make your life easier: have a look at Flame (https://flame-engine.org) for more info about that!
For a refresher on using built-in animations into your apps, have a look at the official Flutter guide, which you can find at the following link: https://flutter.dev/docs/development/ui/animations.
If you are really serious about developing games, there's a great free resource that will...