Refactor Vue input components with `v-model` to support input and output

[Keavon]

Currently the Vue components for input widgets are built, but can't be used for the back-and-forth with the backend API. When I wrote them, I didn't fully understand Vue's intended approach, but @FuriouZz has since informed me about v-model. This issue involves going back to make some small refactoring changes so the widget components can be used by their parent components in a way that communicates with the Rust backend.

Blocking #184 which is an important feature for Sprint 5.

[Keavon]

@FuriouZz would you be willing to take this on? I can assign it to you if so. I think, since it's mostly just cleanup, it shouldn't be too time consuming.

[FuriouZz]

I take it! 😊