docs: add examples/ (live demo + RESULTS) and slim the README examples

- examples/demo.mjs: live demo (5 single messages up to 5 people with rare
  auto-coined attributes + 5 escalating multi-turn conversations with
  long-range back-references); self-references the package via exports
- examples/RESULTS.md: its generated output (10 examples)
- examples/.env.example + examples/README.md; `npm run example` script
- README: replace the long examples section with two representative examples
  (dense 5-person message + 6-turn conversation) and a badge/link to
  examples/RESULTS.md for the full set
- eslint ignores examples/**, prettier ignores generated examples/RESULTS.md,
  .gitignore un-ignores .env.example

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

examples/.env.example

@@ -0,0 +1,6 @@
+# Copy to examples/.env and fill in — .env is git-ignored, never commit your key.
+# Any OpenAI-compatible endpoint works; the package appends "/chat/completions".
+INFOMANIAK_AI_BASE_URL=      # e.g. https://api.infomaniak.com/2/ai/<product_id>/openai/v1
+INFOMANIAK_AI_API_KEY=       # your API token
+GEMMA_MODEL=                 # model id (e.g. google/gemma-4-31B-it)
+PRIVACY_GEMMA_TIMEOUT_MS=60000