docs(dox): build out the DOX AGENTS.md hierarchy

Root Child DOX Index assembled, plus a per-module AGENTS.md across the tree
(core/*, infrastructure/*, apps/*, testing/*, and docs/examples/frontend/etc),
each following the DOX section shape: Purpose, Ownership, Local Contracts,
Work Guidance, Verification, Child DOX Index.

examples/AGENTS.md

@@ -0,0 +1,32 @@
+# examples/ — AGENTS.md
+
+## Purpose
+
+Reference configurations and workflow definitions that demonstrate how to use CORREX. These are runnable examples, not documentation prose.
+
+## Ownership
+
+Kept in sync with the features they exercise. When a kernel contract changes (tool names, config keys, stage shape), update affected examples.
+
+## Local Contracts
+
+- `workflows/` — TOML workflow definitions (decompose→gather→report, role_pipeline, review_loop, etc.) plus a `prompts/` subdirectory for prompt text files referenced by those workflows. These are the canonical examples for the `[tools.research]` config and freestyle/plan workflows.
+- `configs/` — currently empty; reserved for example `correx.toml` server configs.
+- `plugins/` — currently empty; reserved for example plugin descriptors.
+- `stages/` — currently empty; reserved for example stage definitions.
+
+Each TOML file in `workflows/` is a valid workflow loadable by the server. Keep them working against the current kernel API.
+
+## Work Guidance
+
+- Add a new workflow example when a major new workflow type ships.
+- Prompts referenced by TOML files go in `workflows/prompts/`.
+- Do not add configs/plugins/stages stubs speculatively — populate when there is real content.
+
+## Verification
+
+_None yet._
+
+## Child DOX Index
+
+No child AGENTS.md (leaf directory).