docs: fix demo instructions in install.md, resolve stale-text review findings

agents/claude_codex_workflow_context.md

@@ -1,5 +1,7 @@
 # Claude Code + Codex Workflow
 
+> **Historical document (banner added 2026-06-12).** These are the original workflow design notes, preserved as a record. Some sections reference repository state that no longer exists — the `webcomponent` working branch (fully merged via PRs #14–24) and a root `npm run build` script (the build commands are `npm run build:component*` and `npm run docs:build`). For the current workflow see `AGENTS.md`; for current status see `agents/SESSION_HANDOFF.md`.
+
 Date: 2026-05-04
 Repo: https://github.com/idsinge/latency-test
 Working branch: `webcomponent`

docs/build-output.md

@@ -1,5 +1,7 @@
 # Build Output
 
+`dist/` is generated output: it is gitignored and never committed, but it is exactly what npm ships — the package's `files` whitelist contains `dist/`, so `npm pack` and the published tarball include it (rebuilt automatically by `prepublishOnly`).
+
 `npm run build:component` produces the modern build in `dist/`:
 
 | File | Purpose |

docs/install.md

@@ -136,10 +136,18 @@ There is no reliable cross-browser API to force both devices to share the same s
 
 ## Running the demo locally
 
+The demo page loads the built legacy IIFE bundle, so build it first:
+
 ```bash
 git clone https://github.com/idsinge/latency-test.git
 cd latency-test
 npm install
-npm run dev
-# open http://localhost:3000
+npm run build:component:legacy
+npm run demo
+# open http://localhost:3000/demo/
 ```
+
+Other local servers, for reference:
+
+- `npm run dev` — internal dev/test pages, served natively from `src/` (no build step needed)
+- `npm run docs:dev` — this documentation site