feat(ai-tools): Settings → AI Tools, Default/Other lane picker, per-run bypass switch (#40 A1)

Settings → Dashboard gains an AI Tools section (installed tools with
Enabled/Disabled and Set default, available ones with a homepage link,
Refresh). useAiTools shares one catalog copy across the app and replaces
LANE_TOOL_LABEL. The Add-lane modal picks Default (<tool>) or Other…; the
router row reads Native (<tool>) and disables AI Router profiles for tools
that cannot use one. The run form gives catalog tools resume and a red
per-run Bypass permissions switch (Codex too). Claude Code / Codex settings
tabs hide while that tool is disabled. The Workspace probes each lane tool's
CLI fresh.

Docs: CLAUDE.md tool/bypass rule, AGENTS.md, LANES.md, API.md, CLI.md,
server/README.md, OpenAPI fragment + regenerated openapi.yaml.

client/src/components/lanes/LaneCard.tsx

@@ -30,6 +30,7 @@ import { eventBus } from "../../lib/eventBus";
 import { keepIfSame } from "../../lib/keepIfSame";
 import type { AiRouter } from "../../lib/api";
 import type { Lane, LaneRuntime, NamedLock } from "../../lib/types";
+import { useAiTools } from "../../hooks/useAiTools";
 
 /** How often a mounted card re-probes its stack. Faster than the Changes panel's
  *  git refresh because a stack dying is exactly what the user needs to see, and slower than
@@ -120,6 +121,13 @@ function useLaneLocks(laneSlot: number | null): NamedLock[] {
  */
 export function LaneRouterRow({ lane }: { lane: Lane }) {
   const { t } = useTranslation(["lanes"]);
+  const aiTools = useAiTools();
+  const toolLabel = aiTools.label(lane.tool || "claude");
+  // Only Claude and Codex have an endpoint/model override to write; every
+  // other tool is offered native alone (the server refuses the rest anyway).
+  const routerCapable =
+    aiTools.byId(lane.tool || "claude")?.routerCapable ??
+    (lane.tool === "claude" || lane.tool === "codex" || !lane.tool);
   const [routers, setRouters] = useState<AiRouter[] | null>(null);
   const [current, setCurrent] = useState(lane.router_profile || "native");
   const [busy, setBusy] = useState(false);
@@ -225,8 +233,15 @@ export function LaneRouterRow({ lane }: { lane: Lane }) {
         className="max-w-40 truncate rounded border border-border bg-surface-1 px-2 py-0.5 text-fg-secondary disabled:opacity-50"
       >
         {routers.map((r) => (
-          <option key={r.name} value={r.name}>
-            {r.label}
+          <option
+            key={r.name}
+            value={r.name}
+            disabled={!r.builtin && !routerCapable}
+            title={
+              !r.builtin && !routerCapable ? t("router.nativeOnly", { tool: toolLabel }) : undefined
+            }
+          >
+            {r.builtin ? t("router.native", { tool: toolLabel }) : r.label}
           </option>
         ))}
       </select>