Problems:

• When I select an example it runs automatically instead of waiting for me to do something. This is a problem because many of them require you to select something before running it
• When I run an example that writes to the console, that goes to the browser console instead of the output field on the explorer
• The app does not remember what example was selected when you switch pages

This PR:

• Adds a "Run" button and does not run the example immediately on load
• Prints output to the output field as well as the browser console
• Moves info about the selected example up in the scope to be able to remember it

To test:

1. Load this branch and run npm i
2. Run npm run dev
3. Open a page in the Webflow editor
4. Press E, click the "Designer API Playground" App, and then click "Launch Development App"
5. Try out the behavior of the API Explorer page and run some examples. See that the behavior and output in the console is what you expect.