Rebrand: TeamClaw -> Clawmates (clawmates.work)

Full-depth rename per the approved plan; the 'claw' product vocabulary
(claws, /claws routes, clawId, Claw Chat) stays — it is now the brand.

- Display brand: Clawmates (manifest, titles, hero, login/rail logo
  'clawmates'); default host app.clawmates.work; registry
  ghcr.io/clawmates
- Crates tc-* -> cm-* (16 crates + all imports); binaries
  clawmates-server/broker/bundler; images clawmates/*; env prefix
  CLAWMATES_* (+ CM_TEST_DATABASE_URL / CM_LIVE_LLM); config
  clawmates.toml; helm chart deploy/helm/clawmates with clawmates-*
  resources; db names clawmates*; sockets /run/clawmates; cookie
  cm_session; kind cluster clawmates-test; seccomp node profile
  clawmates-agent-profile.json
- All 9 Playwright brand assertions updated in lockstep; historical
  spec document left untouched as the only remaining 'TeamClaw'
- Local env migrated: dev pg clawmates-dev-pg/clawmates_dev, shared
  test server clawmates-test-pg, kind cluster recreated with image +
  profile, compose images rebuilt under clawmates/*

Verified end to end: 161 Rust + 68 frontend tests, 29 Playwright
journeys, 4 live kind tests, helm/install/LOC/placeholder gates, and
the clean-room install rehearsal serving the clawmates login page from
a signed bundle of the rebuilt images.

Co-Authored-By: Claude Fable 5 <[email protected]>

crates/cm-api/src/routes/routines.rs

@@ -0,0 +1,58 @@
+use axum::extract::{Query, State};
+use axum::http::StatusCode;
+use axum::Json;
+use cm_db::repo::routines::Routine;
+use cm_domain::AgentId;
+use serde::Deserialize;
+use serde_json::json;
+
+use crate::routes::claws::workspace_agent;
+use crate::{ApiError, AppState, Authed};
+
+#[derive(Deserialize)]
+pub struct RoutinesQuery {
+    #[serde(rename = "clawId")]
+    claw_id: AgentId,
+}
+
+/// GET /api/routines?clawId= — the Routines app list (§7.6).
+pub async fn list(
+    State(state): State<AppState>,
+    Authed(user): Authed,
+    Query(query): Query<RoutinesQuery>,
+) -> Result<Json<Vec<Routine>>, ApiError> {
+    let agent = workspace_agent(&state, &user, query.claw_id).await?;
+    Ok(Json(
+        cm_db::repo::routines::list_by_agent(&state.pool, agent.id).await?,
+    ))
+}
+
+#[derive(Deserialize)]
+pub struct CreateRoutineRequest {
+    #[serde(rename = "clawId")]
+    claw_id: AgentId,
+    name: String,
+    cron: String,
+    message: String,
+}
+
+/// POST /api/routines — schedule a task (§7.6).
+pub async fn create(
+    State(state): State<AppState>,
+    Authed(user): Authed,
+    Json(body): Json<CreateRoutineRequest>,
+) -> Result<(StatusCode, Json<Routine>), ApiError> {
+    let agent = workspace_agent(&state, &user, body.claw_id).await?;
+    let next = cm_scheduler::next_occurrence(&body.cron, time::OffsetDateTime::now_utc())
+        .map_err(|_| ApiError::Conflict)?;
+    let routine = cm_db::repo::routines::create(
+        &state.pool,
+        agent.id,
+        &body.name,
+        &body.cron,
+        json!({"message": body.message}),
+        next,
+    )
+    .await?;
+    Ok((StatusCode::CREATED, Json(routine)))
+}