diff --git a/apps/cli/src/daemon/db/inbox.ts b/apps/cli/src/daemon/db/inbox.ts
index 496e33e..ccdd879 100644
--- a/apps/cli/src/daemon/db/inbox.ts
+++ b/apps/cli/src/daemon/db/inbox.ts
@@ -111,6 +111,21 @@ export function insertIfNew(
   return after?.id === row.id ? row.id : null;
 }
 
+/** 1.38.0: the row a client_message_id already landed as, if any. */
+export function findByClientMessageId(
+  db: SqliteDb,
+  clientMessageId: string,
+): Pick<InboxRow, "id" | "body" | "recipient_pubkey" | "recipient_kind"> | null {
+  return db.prepare(
+    `SELECT id, body, recipient_pubkey, recipient_kind FROM inbox WHERE client_message_id = ?`,
+  ).get<Pick<InboxRow, "id" | "body" | "recipient_pubkey" | "recipient_kind">>(clientMessageId) ?? null;
+}
+
+/** 1.38.0: widen a session-scoped row to the whole member (multicast). */
+export function promoteToMember(db: SqliteDb, id: string, memberPubkey: string): void {
+  db.prepare(`UPDATE inbox SET recipient_kind = 'member', recipient_pubkey = ? WHERE id = ?`).run(memberPubkey, id);
+}
+
 export interface ListInboxParams {
   since?: number;        // received_at >= since
   topic?: string;
diff --git a/apps/cli/src/daemon/events.ts b/apps/cli/src/daemon/events.ts
index 9f95525..c842f57 100644
--- a/apps/cli/src/daemon/events.ts
+++ b/apps/cli/src/daemon/events.ts
@@ -98,6 +98,8 @@ export function shouldDeliver(e: DaemonEvent, f: SseFilterOptions): boolean {
     return !!f.sessionPubkey && f.sessionPubkey.toLowerCase() === recipientPubkey;
   }
   if (recipientKind === "member") {
+    const excluded = typeof e.data.exclude_session_pubkey === "string" ? e.data.exclude_session_pubkey.toLowerCase() : null;
+    if (excluded && f.sessionPubkey && f.sessionPubkey.toLowerCase() === excluded) return false;
     return !!f.memberPubkey && f.memberPubkey.toLowerCase() === recipientPubkey;
   }
   return true;
diff --git a/apps/cli/src/daemon/inbound.ts b/apps/cli/src/daemon/inbound.ts
index 424ad2c..51e63ff 100644
--- a/apps/cli/src/daemon/inbound.ts
+++ b/apps/cli/src/daemon/inbound.ts
@@ -5,7 +5,7 @@
 import { randomUUID } from "node:crypto";
 
 import type { SqliteDb } from "./db/sqlite.js";
-import { insertIfNew } from "./db/inbox.js";
+import { findByClientMessageId, insertIfNew, promoteToMember } from "./db/inbox.js";
 import type { EventBus } from "./events.js";
 import { decryptDirect } from "~/services/crypto/facade.js";
 import { decodeBase64Utf8 } from "~/utils/text.js";
@@ -118,6 +118,41 @@ export async function handleBrokerPush(msg: Record<string, unknown>, ctx: Inboun
     }
   }
 
+  // 1.38.0 (spec 2026-09-26 §3): a multicast (broadcast / group / topic)
+  // reaches this daemon twice — on the member-WS (visible to every session)
+  // and on a session-WS (visible to that session). Dedupe used to keep
+  // whichever landed first, so a session copy winning hid the message from
+  // every other session. Converge on the member-wide row instead.
+  const existing = ctx.recipientKind
+    ? findByClientMessageId(ctx.db, clientMessageId)
+    : null;
+  if (existing && existing.recipient_kind && existing.recipient_kind !== ctx.recipientKind) {
+    ctx.ackClientMessage?.(clientMessageId, brokerMessageId);
+    if (ctx.recipientKind === "member" && existing.recipient_kind === "session" && ctx.recipientPubkey) {
+      promoteToMember(ctx.db, existing.id, ctx.recipientPubkey);
+      ctx.bus.publish("message", {
+        id: existing.id,
+        mesh: ctx.meshSlug,
+        client_message_id: clientMessageId,
+        broker_message_id: brokerMessageId,
+        sender_pubkey: senderPubkey,
+        sender_member_pubkey: senderMemberPk,
+        sender_name: senderName,
+        topic,
+        reply_to_id: replyToId,
+        priority,
+        ...(subtype ? { subtype } : {}),
+        body: existing.body,
+        created_at: createdAt,
+        recipient_pubkey: ctx.recipientPubkey,
+        recipient_kind: "member",
+        // the session that already rendered it must not see it twice
+        ...(existing.recipient_pubkey ? { exclude_session_pubkey: existing.recipient_pubkey } : {}),
+      });
+    }
+    return;
+  }
+
   const id = randomUUID();
   const inserted = insertIfNew(ctx.db, {
     id,
diff --git a/apps/cli/tests/unit/inbound-multicast.test.ts b/apps/cli/tests/unit/inbound-multicast.test.ts
new file mode 100644
index 0000000..f523e39
--- /dev/null
+++ b/apps/cli/tests/unit/inbound-multicast.test.ts
@@ -0,0 +1,51 @@
+/** Spec 2026-09-26 §3: a broadcast arriving on both the member-WS and a
+ *  session-WS must reach every session exactly once, whatever lands first. */
+
+import { afterEach, beforeEach, describe, expect, it } from "vitest";
+import { mkdtempSync, rmSync } from "node:fs";
+import { tmpdir } from "node:os";
+import { join } from "node:path";
+
+import { openSqlite, type SqliteDb } from "~/daemon/db/sqlite.js";
+import { migrateInbox } from "~/daemon/db/inbox.js";
+import { EventBus, shouldDeliver, type DaemonEvent } from "~/daemon/events.js";
+import { handleBrokerPush } from "~/daemon/inbound.js";
+
+const MEMBER = "a".repeat(64);
+const S1 = "1".repeat(64);
+const S2 = "2".repeat(64);
+const push = { type: "push", messageId: "b1", client_message_id: "cid-1", ciphertext: Buffer.from("hola").toString("base64") };
+
+describe("inbound: multicast convergence", () => {
+  let dir: string;
+  let db: SqliteDb;
+  let events: DaemonEvent[];
+  let bus: EventBus;
+  beforeEach(async () => {
+    dir = mkdtempSync(join(tmpdir(), "cmh-mc-"));
+    db = await openSqlite(join(dir, "inbox.db"));
+    migrateInbox(db);
+    events = [];
+    bus = new EventBus();
+    bus.subscribe((e) => { if (e.kind === "message") events.push(e); });
+  });
+  afterEach(() => { try { db.close(); } catch { /* ignore */ } rmSync(dir, { recursive: true, force: true }); });
+
+  const seenBy = (session: string) =>
+    events.filter((e) => shouldDeliver(e, { sessionPubkey: session, memberPubkey: MEMBER, meshSlug: "m" })).length;
+
+  it("session copy first, member copy second → every session sees it once", async () => {
+    await handleBrokerPush(push, { db, bus, meshSlug: "m", recipientPubkey: S1, recipientKind: "session" });
+    await handleBrokerPush(push, { db, bus, meshSlug: "m", recipientPubkey: MEMBER, recipientKind: "member" });
+    expect(seenBy(S1)).toBe(1);
+    expect(seenBy(S2)).toBe(1);
+  });
+
+  it("member copy first → the session copy is dropped", async () => {
+    await handleBrokerPush(push, { db, bus, meshSlug: "m", recipientPubkey: MEMBER, recipientKind: "member" });
+    await handleBrokerPush(push, { db, bus, meshSlug: "m", recipientPubkey: S1, recipientKind: "session" });
+    expect(seenBy(S1)).toBe(1);
+    expect(seenBy(S2)).toBe(1);
+    expect(db.prepare("SELECT COUNT(*) AS n FROM inbox").get()).toEqual({ n: 1 });
+  });
+});