feat(intake-links): picker project list and resolver

Phase 9b Task 3. listPickerProjects reads the public-eligible
projects on a client; resolveProjectForClient checks that a given
projectId belongs to the client and is opted in. Both fail closed
on any DB read error.

src/lib/intake-links/client-projects.ts

@@ -0,0 +1,55 @@
+import "server-only";
+
+import { getAdminPb } from "@/lib/pb/admin";
+import type { ProjectRecord } from "@/lib/pb/types";
+
+/**
+ * List every project on the given client that is eligible to appear
+ * in the public intake picker.
+ *
+ * Eligible = (status = "active") AND (show_in_intake = true).
+ *
+ * Reads via the superuser connection. The route that uses this is a
+ * public server component — no session, no user, so the only authority
+ * is the superuser.
+ *
+ * Sorted by project name so the picker is alphabetical and predictable.
+ */
+export async function listPickerProjects(
+  clientId: string
+): Promise<ProjectRecord[]> {
+  const pb = await getAdminPb();
+  return pb
+    .collection("projects")
+    .getFullList<ProjectRecord>({
+      filter: `client = "${clientId}" && status = "active" && show_in_intake = true`,
+      sort: "name",
+    });
+}
+
+/**
+ * Read a single project, scoped to the client. Used by the
+ * `/intake/[token]/p/[projectId]` page to verify the URL's projectId
+ * is one the picker could have shown.
+ *
+ * Returns null if the project is missing, archived, opted out, or
+ * belongs to a different client. The caller 404s on null — same
+ * wording as the wizard, so a hostile body cannot probe.
+ */
+export async function resolveProjectForClient(
+  clientId: string,
+  projectId: string
+): Promise<ProjectRecord | null> {
+  const pb = await getAdminPb();
+  try {
+    const project = await pb
+      .collection("projects")
+      .getOne<ProjectRecord>(projectId);
+    if (project.client !== clientId) return null;
+    if (project.status !== "active") return null;
+    if (!project.show_in_intake) return null;
+    return project;
+  } catch {
+    return null;
+  }
+}