docs(learnings): simplifier pass on MCP double-spawn entry

Drop redundant "Anthropic" qualifier in Status section and reword
CLAUDE.md index bullet to noun-phrase form matching siblings.

Co-Authored-By: Claude <claude@anthropic.com>

Author: RayCharlizard

CLAUDE.md

@@ -12,7 +12,7 @@ The [`docs/learnings/`](docs/learnings/) directory contains hard-won technical k
 - [`cowork-vm-daemon.md`](docs/learnings/cowork-vm-daemon.md) — Cowork VM daemon lifecycle, respawn logic, crash diagnosis
 - [`plugin-install.md`](docs/learnings/plugin-install.md) — Anthropic & Partners plugin install flow, gate logic, backend endpoints, and DevTools recipes
 - [`apt-worker-architecture.md`](docs/learnings/apt-worker-architecture.md) — APT/DNF binary distribution via Cloudflare Worker + GitHub Releases, redirect chain, credential ownership, heartbeat runbook
-- [`mcp-double-spawn.md`](docs/learnings/mcp-double-spawn.md) — Stdio MCPs spawn 2× when both chat and Code/Agent panels are active; upstream Anthropic bug, MCP-author workaround documented
+- [`mcp-double-spawn.md`](docs/learnings/mcp-double-spawn.md) — Stdio MCPs spawn 2× when chat and Code/Agent panels are both active, root cause in upstream session managers, MCP-author workaround
 
 ## Code Style
 

docs/learnings/mcp-double-spawn.md

@@ -60,8 +60,8 @@ upstream releases**.
 
 ## Status
 
-**Upstream Anthropic Claude Desktop bug. Not patchable in this
-repo.** A fix would require either:
+**Upstream Claude Desktop bug. Not patchable in this repo.** A
+fix would require either:
 
 - Routing the SDK stdio transport through `oUt`/`hZ` (the
   existing serialized-per-name registry), or