feat(custom-model): ask which model on launch when an endpoint has more than one, and re-discover models every 5 minutes

Two enhancements requested after live-validating PR #430 against a real
llama.cpp server:

1. Model picker dialog. Picking a Run-menu Custom Endpoints entry used to
   apply the endpoint's defaultModelId (or the first discovered model)
   silently. Now, via the new selectCustomModelEntry() (session-ui.js):
   - exactly one discovered model launches straight away, same as before
   - two or more open a new #customModelPickModal listing every discovered
     model; defaultModelId (if set) is marked but never auto-chosen, since
     the point of asking is letting ONE launch deliberately differ from
     the saved default, not just confirming it
   The endpoint is re-fetched at click time rather than trusting anything
   cached from the dropdown's own render, since the model list can have
   changed (the sweep below, or a settings-panel edit) since it opened.
   runCustomModelEntry() itself — the actual launch, routed through run()
   for the in-flight lock, snapshot-guarded against applying to the wrong
   session — is unchanged; it now just always receives an explicit model
   id from one of these two paths instead of computing one itself.

2. Periodic re-discovery. Every saved endpoint's models now refresh
   automatically every 5 minutes in the background
   (CUSTOM_MODEL_REDISCOVER_INTERVAL_MS, server.ts, registered the same way
   as the Codex plan-usage poll it sits beside — this.cleanup.setInterval,
   off under testMode), so a model the server starts or stops serving shows
   up without another manual "Discover" click. The manual POST
   .../discover-models route and the new refreshAllCustomModelHosts()
   sweep (custom-model-routes.ts) now share one pure merge step
   (applyDiscoveredModels: stamps lastDiscoveredAt, drops a defaultModelId
   that no longer appears) rather than two copies that could drift. The
   sweep is best-effort per host — one endpoint being unreachable on a
   cycle never blocks the others — and re-reads the store before each
   host's write, keyed by id, so a concurrent edit or delete from the
   settings panel always wins over a sweep that started before it.

Tests: test/custom-model-endpoint-rediscovery.test.ts is a new, dedicated
file for the sweep (kept separate from custom-model-routes.test.ts because
that file's data dir is shared across every test in it — one temp HOME per
FILE, not per test — which would make a sweep-touches-every-host assertion
meaningless there). test/custom-model-run-menu-ui.test.ts gained a new
describe block driving the real picker modal through JSDOM: single-model
bypass, multi-model dialog with the default marked-not-chosen, picking a
row closes the modal and launches with that exact model, the endpoint
re-fetch, and the two "vanished by click time" toast paths.

Docs: docs/custom-model-endpoints.md, docs/wiki/Custom-Model-Endpoints.md,
docs/api-reference.md and CLAUDE.md's dense feature paragraph all updated
— the last of these also caught up two sentences that had gone stale after
the draft-review fixes landed (the picker routes through run() now, not a
raw run*() call).

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01RqZeHrRS6DYcGcGX2p9EwG

src/web/server.ts

@@ -190,6 +190,7 @@ import {
   registerWebviewRoutes,
   registerTabLayoutRoutes,
   registerCustomModelRoutes,
+  refreshAllCustomModelHosts,
   tryWebviewRefererFallback,
 } from './routes/index.js';
 import { isLostWebviewFrameNavigation } from './webview-proxy.js';
@@ -202,6 +203,7 @@ const __dirname = dirname(fileURLToPath(import.meta.url));
 // while capping growth of `sseClientsById` and blocking pathological inputs.
 const SSE_CLIENT_ID_RE = /^[A-Za-z0-9_-]{8,64}$/;
 const CODEX_USAGE_POLL_INTERVAL_MS = 5 * 60_000;
+const CUSTOM_MODEL_REDISCOVER_INTERVAL_MS = 5 * 60_000;
 
 function escapeHtmlText(value: string): string {
   return value.replaceAll('&', '&amp;').replaceAll('<', '&lt;').replaceAll('>', '&gt;');
@@ -2734,6 +2736,25 @@ export class WebServer extends EventEmitter {
       });
     }
 
+    // Custom Model Endpoint Profiles (docs/custom-model-endpoints-plan.md): keeps
+    // each saved endpoint's discovered model list current with no manual
+    // "Discover" click, so a model added on the server side (or one that drops
+    // off) shows up in the Run-menu picker within one cycle. Best-effort per
+    // endpoint (refreshAllCustomModelHosts skips one that's unreachable rather
+    // than failing the sweep) and off in tests for the same reason the Codex
+    // poll above is — no real network to hit, no server instance to keep alive.
+    if (!this.testMode) {
+      this.cleanup.setInterval(
+        () => {
+          refreshAllCustomModelHosts().catch((err) => {
+            console.error('[custom-model] periodic re-discovery failed:', getErrorMessage(err));
+          });
+        },
+        CUSTOM_MODEL_REDISCOVER_INTERVAL_MS,
+        { description: 'custom model endpoint re-discovery' }
+      );
+    }
+
     // Start scheduled runs cleanup timer
     this.cleanup.setInterval(
       () => {