feat(intake): picker page with single-project redirect + zero-projects fallback

Phase 9b Task 4. The /intake/[token] route is now the picker.
Single-project links redirect straight to the wizard (no extra
click). Zero-projects links show a static 'nothing here yet' page
with no info leakage. Phase 8 backwards compat: a Phase 8 link
(with link.project set, link.client empty) redirects into the
wizard URL using that projectId, so the Phase 8 UX is unchanged.

src/app/intake/[token]/page.tsx

@@ -1,20 +1,27 @@
-import { notFound } from "next/navigation";
+import Link from "next/link";
+import { notFound, redirect } from "next/navigation";
 
-import { getAdminPb } from "@/lib/pb/admin";
-import { IntakePublic } from "@/components/intake/intake-public";
 import { resolveIntakeLink } from "@/lib/intake-links";
-import type { ProjectRecord } from "@/lib/pb/types";
+import { listPickerProjects } from "@/lib/intake-links/client-projects";
 
 /**
- * The unauthenticated intake page.
+ * The picker — the new entry point for a Phase 9 client-bound link.
  *
- * Resolves the token server-side. Unknown, revoked and expired tokens all
- * 404 — same wording so the response cannot be used to probe existence. The
- * link's label is shown to the submitter; nothing else from `intake_links`
- * crosses into the rendered HTML (notes, counts and the token itself are
- * owner-only).
+ * Resolves the token server-side. Unknown / revoked / expired → 404
+ * (same wording as the wizard page, so a hostile body cannot probe).
+ *
+ * Three branches after resolution:
+ *   - zero picker-eligible projects → static "nothing here yet" page
+ *   - one → server-side redirect to the wizard URL with the projectId
+ *   - two or more → render a list of project names; each item links to
+ *     /intake/[token]/p/[projectId]
+ *
+ * Phase 8 backwards compat: if the link has `link.project` set and
+ * `link.client` empty, the page behaves like the Phase 8 wizard URL —
+ * redirect to `/intake/[token]/p/[projectId]` using that single project.
+ * This means every Phase 8 URL keeps working with zero changes.
  */
-export default async function IntakePage({
+export default async function IntakePickerPage({
   params,
 }: {
   params: Promise<{ token: string }>;
@@ -23,34 +30,59 @@ export default async function IntakePage({
 
   const link = await resolveIntakeLink(token);
   if (!link || !link.active) notFound();
-
-  if (link.expires_at && link.expires_at < new Date().toISOString().slice(0, 10)) {
+  if (
+    link.expires_at &&
+    link.expires_at < new Date().toISOString().slice(0, 10)
+  ) {
     notFound();
   }
 
-  const pb = await getAdminPb();
-  const project = await pb
-    .collection("projects")
-    .getOne<ProjectRecord>(link.project)
-    .catch(() => null);
+  // Phase 8 backwards compat: per-project link → wizard URL with that projectId.
+  if (link.project && !link.client) {
+    redirect(`/intake/${token}/p/${link.project}`);
+  }
 
-  if (!project) notFound();
+  if (!link.client) notFound();
+
+  const projects = await listPickerProjects(link.client);
+
+  if (projects.length === 0) {
+    return (
+      <main className="mx-auto max-w-xl space-y-3 p-6">
+        <h1 className="text-lg font-semibold text-text-primary">
+          Nothing here yet
+        </h1>
+        <p className="text-sm text-text-secondary">
+          The developer hasn&apos;t enabled any projects for this page yet.
+          Try again later, or contact them directly.
+        </p>
+      </main>
+    );
+  }
+
+  if (projects.length === 1) {
+    redirect(`/intake/${token}/p/${projects[0].id}`);
+  }
 
   return (
     <main className="mx-auto max-w-xl space-y-4 p-6">
       <header className="space-y-1">
-        <p className="text-xs uppercase tracking-wide text-text-muted">
-          Request to {project.name}
-        </p>
         <h1 className="text-lg font-semibold text-text-primary">
-          {link.label}
+          Tell us which project you have a question about
         </h1>
       </header>
-      <IntakePublic
-        projectId={project.id}
-        projectName={project.name}
-        token={token}
-      />
+      <ul className="space-y-2">
+        {projects.map((p) => (
+          <li key={p.id}>
+            <Link
+              href={`/intake/${token}/p/${p.id}`}
+              className="block rounded-[var(--radius-tile)] border border-border-subtle bg-surface p-4 text-sm text-text-primary hover:bg-surface-raised"
+            >
+              {p.name}
+            </Link>
+          </li>
+        ))}
+      </ul>
     </main>
   );
 }