[Enhancement] Add CDN-compatible browser bundle with built-in microphone capture

[deepgram-robot]

Summary

Publish a CDN-compatible browser bundle (deepgram.browser.min.js) that can be loaded via a <script> tag without any bundler, and includes a built-in microphone capture helper for zero-setup browser transcription.

Problem it solves

Frontend developers who want to add live transcription to a webpage currently need to: (1) set up a Node.js project with a bundler, (2) install the SDK via npm, (3) write their own `getUserMedia()` microphone capture code, and (4) manually pipe audio buffers to the WebSocket. This creates a high barrier for prototyping, demos, and simple integrations. A CDN bundle with mic capture would reduce "hello world" browser transcription to 3 lines of HTML — matching the simplicity competitors offer with dedicated browser packages.

Proposed API

<!-- Zero-bundler usage -->
<script src="https://cdn.jsdelivr.net/npm/@deepgram/sdk/dist/deepgram.browser.min.js"></script>
<script>
  const dg = new Deepgram.Client({ key: tempApiKey });

  // Built-in mic capture → streaming transcription
  const mic = await dg.listen.live.microphone({
    model: "nova-3",
    language: "en",
  });

  mic.on("transcript", (result) => {
    console.log(result.channel.alternatives[0].transcript);
  });

  mic.start(); // starts getUserMedia + WebSocket
  // mic.stop(); // stops both
</script>

Acceptance criteria

• Published as part of @deepgram/sdk with browser-specific entry point
• Loadable via CDN (jsDelivr, unpkg) with <script> tag
• Built-in getUserMedia() microphone capture helper
• Works without bundler, transpiler, or Node.js
• Documented with zero-bundler quickstart example
• Compatible with existing SDK API (same event names, same options)

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Raised by the DX intelligence system.