docs: describe hive-claude split, InfiniteSession, deferred compact, web_ui dir

CLAUDE.md

@@ -33,9 +33,16 @@ hand-maintained per-file tree drifts out of sync with the code.
   forge / matrix provisioning, per-container stats, and the axum
   operator dashboard (`dashboard.rs`). Largest crate.
 - **`hive-ag3nt/`** — in-container harness; one `hive` binary for every
-  agent. Turn loop (`turn.rs`), embedded MCP server (`mcp.rs`), per-agent
-  web UI (`web_ui.rs`), event + turn-stats sqlite sinks, login flow,
-  system-prompt renderer, forge-notify subscriber.
+  agent. Turn-loop *policy* layer (`turn.rs`) over the `hive-claude`
+  driver, embedded MCP server (`mcp.rs`), per-agent web UI (`web_ui/`
+  module dir), event + turn-stats sqlite sinks, login flow, system-prompt
+  renderer, forge-notify subscriber.
+- **`hive-claude/`** — reusable, app-agnostic driver for headless
+  `claude --print`: spawns the CLI, streams + classifies stream-json,
+  parses per-turn `Telemetry`, and drives a durable self-compacting
+  `InfiniteSession` (name + `SessionStore` + `CompactionPolicy`). Uses
+  `thiserror` (it's a library); the `hive-*` binaries consume it with
+  `anyhow`. See `hive-claude/README.md`.
 - **`hive-priv/`** — minimal root privileged-helper, socket-activated at
   `/run/hive/priv.sock`; performs the few root operations (bind-mount
   edits, nsenter) the unprivileged `hive-c0re` delegates to it. See