feat(community): add the-living-document demo app

[BeeBombshell]

References #1761

Summary

Introduces The Living Document, a demo application that showcases real-time, bidirectional, and multi-language translation capabilities using the lingo.dev SDK.

Check out the live demo.

Screenshots

Lingo.dev SDK Features

• localizeText() - Basic text translation from source to target locale
• batchLocalizeText() - Translate content to multiple target languages in a single call ("Translate to Multiple")
• Progress Tracking Callback - The third param in localizeText(), provides real-time progress updates (Progress Bar)
• fast parameter - The fast: true option in translation parameters that prioritizes speed over quality ("Fast/Quality mode" toggle)
• Configuration options:
  • batchSize - Max items per API request
  • idealBatchItemSize - Target word count per batch

[sumitsaurabh927]

hi @BeeBombshell your PR is missing changeset. Please add the changeset by following instructions here. Make sure you've joined our discord to see this message. If you haven't you need to:

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[BeeBombshell]

Hey @sumitsaurabh927, I've updated the commits to be signed, and updated the changeset to reflect no major/minor bump. Up for a re-review :)