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/README.md

@@ -0,0 +1,24 @@
+# Live example
+
+[`demo.mjs`](./demo.mjs) runs `@mobiletic/anonymizer` against a real
+OpenAI-compatible LLM (built with Gemma 4 via Infomaniak) on a set of fictional
+Swiss e-learning chats: 5 single messages of rising complexity (up to 5 people,
+with rare attributes the model must coin itself) and 5 multi-turn conversations
+(with long-range back-references across turns). It writes the formatted output to
+[`RESULTS.md`](./RESULTS.md).
+
+> This is a **live example**, not a CI unit test — it needs an API key and calls a
+> real endpoint. The deterministic test suite lives in [`../test`](../test).
+
+## Run
+
+```bash
+cd ..
+npm install
+npm run build                     # examples/demo.mjs imports the built package
+cp examples/.env.example examples/.env   # then fill in your endpoint + key
+npm run example                   # → regenerates examples/RESULTS.md
+```
+
+`examples/.env` is git-ignored. All personal data in the scripts and results is
+**fictional**, generated for demonstration.