Add an "Ecosystem" category to the Samples menu

[parlough]

Based on what we discussed around samples, I came up with the following so the chat bot sample wouldn't be alone.

I incorporated a slightly modified version of John's AI SDK sample and a super stripped-down version of Brett's brick breaker codelab. I left a reference to the codelab for those who want to learn more or implement the whole version themselves.

Staged: https://parlough-dart-dev.web.app/

Courtesy of the Google AI SDK sample

In DartPad's realm, where code takes flight, A symphony of languages, a wondrous sight. Dart, the foundation, a language so grand, Powers this playground, at your command.

With Flutter's grace, a canvas so bright, Ul unfolds, a captivating delight. Widgets dance, responsive and free, Creating worlds as far as the eye can see.

DartPad's code, a poetic art, Each line a verse, playing a vital part.
Syntax flows, a rhythm so divine, A symphony of logic, a coder's shrine.

As fingers dance across the keyboard's keys, A tapestry of code, where magic weaves. Dart's elegance, Flutter's vibrant hue, Together they paint a picture, vibrant and true.

In DartPad's embrace, a coder's dream, Where creativity soars, a boundless stream. With Dart and Flutter, hand in hand, A poetic journey, across a digital land.

So let us celebrate, this union so fine, DartPad's symphony, a coder's divine. In the realm of code, where art finds its voice, Dart and Flutter, a poetic choice.

[devoncarew]

I came up with the following so the chat bot sample wouldn't be alone.

This is great! The new menu system looks great - each sample makes sense there.

[johnpryan]

@parlough I just noticed that the breakout game keyboard input isn't as smooth as I would expect. Is that a DartPad issue or something we can fix in the sample?

[parlough]

I think it felt like that for the full codelab too, I ended up preferring to use my mouse to drag it.

I'll see what I can do to make it a bit more smooth.