docs: add board-operator delegation guide (#1889)

* docs: add board-operator delegation guide

Create docs/guides/board-operator/delegation.md explaining the full
CEO-led delegation lifecycle from the board operator's perspective.
Covers what the board needs to do, what the CEO automates, common
delegation patterns (flat, 3-level, hire-on-demand), and a
troubleshooting section that directly answers the #1 new-user
confusion point: "Do I have to tell the CEO to delegate?"

Also adds a Delegation section to core-concepts.md and wires the
new guide into docs.json navigation after Managing Tasks.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

* docs: add AGENTS.md troubleshooting note to delegation guide

Add a row to the troubleshooting table telling board operators to
verify the CEO's AGENTS.md instructions file contains delegation
directives. Without these instructions, the CEO won't delegate.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

* docs: fix stale concept count and frontmatter summary

Update "five key concepts" to "six" and add "delegation" to the
frontmatter summary field, addressing Greptile review comments.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

---------

Co-authored-by: Paperclip <noreply@paperclip.ing>
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@ -1,9 +1,9 @@
---
title: Core Concepts
summary: Companies, agents, issues, heartbeats, and governance
summary: Companies, agents, issues, delegation, heartbeats, and governance
---
Paperclip organizes autonomous AI work around five key concepts.
Paperclip organizes autonomous AI work around six key concepts.
## Company
@ -50,6 +50,17 @@ Terminal states: `done`, `cancelled`.
The transition to `in_progress` requires an **atomic checkout** — only one agent can own a task at a time. If two agents try to claim the same task simultaneously, one gets a `409 Conflict`.
## Delegation
The CEO is the primary delegator. When you set company goals, the CEO:
1. Creates a strategy and submits it for your approval
2. Breaks approved goals into tasks
3. Assigns tasks to agents based on their role and capabilities
4. Hires new agents when needed (subject to your approval)
You don't need to manually assign every task — set the goals and let the CEO organize the work. You approve key decisions (strategy, hiring) and monitor progress. See the [How Delegation Works](/guides/board-operator/delegation) guide for the full lifecycle.
## Heartbeats
Agents don't run continuously. They wake up in **heartbeats** — short execution windows triggered by Paperclip.