feat(web): ✨ Implement API endpoints and service logic for fetching "Considered Work" data

Co-Authored-By: Lilith Autocommit <noreply@atlilith.com>

src/claire/web/api.py

@@ -380,6 +380,14 @@ def fleet_load_get(cg: Dep) -> dict[str, Any]:
     return service.fleet_load(conn)
 
 
+@router.get("/fleet/considered")
+def fleet_considered_get(cg: Dep) -> dict[str, Any]:
+    """Top ranked task↔session pairings the dispatch engine would consider,
+    plus the unpaired remainder — the "considered work" panel of the HUD."""
+    conn, _ = cg
+    return service.suggest_assignments(conn)
+
+
 @router.post("/pull")
 def pull_now(cg: Dep) -> dict[str, Any]:
     conn, gen = cg

src/claire/web/service.py

@@ -645,6 +645,21 @@ def fleet_load(conn: sqlite3.Connection) -> dict:
     }
 
 
+def suggest_assignments(conn: sqlite3.Connection) -> dict:
+    """Ranked task↔session pairings the dispatch engine would consider —
+    the "considered work" panel of the fleet HUD. Pairings respect the
+    per-host parallelism cap so the UI only surfaces work that could
+    actually be bound right now.
+    """
+    from .. import scheduler
+    from ..config import load_or_init
+
+    cfg = load_or_init()
+    return scheduler.suggest_assignments(
+        conn, per_host_max=cfg.limits.per_host_max
+    )
+
+
 def create_person(
     conn: sqlite3.Connection,
     gen: HLCGenerator,

tests/test_api.py

@@ -112,6 +112,27 @@ def test_status_rollup(client: TestClient) -> None:
     assert proj["counts"]["done"] == 0
 
 
+def test_fleet_considered_shape(client: TestClient) -> None:
+    """GET /fleet/considered returns the considered-work shape; an open
+    task with no free session lands in `remaining_tasks`, not `pairings`."""
+    client.post("/api/v1/projects", json={"name": "alpha"})
+    client.post(
+        "/api/v1/tasks", json={"project": "alpha", "title": "ship hud", "priority": 0}
+    )
+    r = client.get("/api/v1/fleet/considered")
+    assert r.status_code == 200
+    body = r.json()
+    assert set(body) == {
+        "pairings",
+        "remaining_tasks",
+        "remaining_sessions",
+        "capped_out",
+    }
+    assert body["pairings"] == []  # no sessions → nothing pairs
+    titles = [t["title"] for t in body["remaining_tasks"]]
+    assert "ship hud" in titles
+
+
 def test_broadcast_dry_run_warns_when_no_assignments(client: TestClient) -> None:
     client.post("/api/v1/projects", json={"name": "alpha"})
     r = client.post(