diff --git a/web/src/styles/app.css b/web/src/styles/app.css
index a47dda3..4fac07f 100644
--- a/web/src/styles/app.css
+++ b/web/src/styles/app.css
@@ -1547,7 +1547,13 @@ a.menu-item:hover { color: var(--fg); }
 .composer-dock { position: fixed; right: 16px; bottom: 0; display: flex; align-items: flex-end; gap: 12px; z-index: 955; pointer-events: none; }
 .composer { pointer-events: auto; width: 580px; max-width: calc(100vw - 32px); height: 600px; max-height: calc(100vh - 24px); display: flex; flex-direction: column; background: var(--bg-elev); border-radius: var(--radius-lg) var(--radius-lg) 0 0; box-shadow: var(--shadow-3); border: 1px solid var(--border); border-bottom: 0; overflow: hidden; animation: rise .2s var(--ease); }
 .composer.minimized { height: 44px; width: 280px; }
-.composer.maximized { position: fixed; inset: 24px; width: auto; height: auto; max-width: none; max-height: none; border-radius: var(--radius-lg); border-bottom: 1px solid var(--border); }
+/* Full screen is still a child of the dock, so without a layer of its own the
+   positioned parts of any composer after it in the DOM (its recipients row,
+   its editor) would paint straight over it. The others are hidden while one
+   is full screen: they cannot be reached anyway, and the strip left under the
+   24px inset would otherwise show their footers. */
+.composer.maximized { position: fixed; inset: 24px; z-index: 1; width: auto; height: auto; max-width: none; max-height: none; border-radius: var(--radius-lg); border-bottom: 1px solid var(--border); }
+.composer-dock.has-maximized > .composer:not(.maximized) { display: none; }
 .composer-head { display: flex; align-items: center; gap: 4px; height: 44px; padding: 0 6px 0 14px; background: var(--bg-sunken); border-bottom: 1px solid var(--border); flex: 0 0 auto; cursor: default; }
 .composer-head .title { flex: 1; font-weight: 600; white-space: nowrap; overflow: hidden; text-overflow: ellipsis; }
 .composer-head .status { color: var(--fg-faint); font-size: .8em; margin-right: 6px; white-space: nowrap; }
diff --git a/web/src/views/compose/ComposerDock.tsx b/web/src/views/compose/ComposerDock.tsx
index df29a54..878e5ee 100644
--- a/web/src/views/compose/ComposerDock.tsx
+++ b/web/src/views/compose/ComposerDock.tsx
@@ -9,8 +9,10 @@ export function ComposerDock() {
   if (!drafts.length) return null;
   // On mobile only the active composer is shown (full screen); others are minimized bars.
   const visible = isMobile ? drafts.filter((d) => d.key === activeKey || d.minimized) : drafts;
+  // On desktop a full-screen composer stands alone: the rest are hidden until it is restored.
+  const hasMaximized = !isMobile && drafts.some((d) => d.maximized && !d.minimized);
   return (
-    <div className="composer-dock">
+    <div className={`composer-dock${hasMaximized ? " has-maximized" : ""}`}>
       {visible.map((d) => (
         <Composer key={d.key} draft={isMobile && d.key !== activeKey ? { ...d, minimized: true } : d} />
       ))}
diff --git a/web/src/views/compose/__tests__/composer-dock.test.tsx b/web/src/views/compose/__tests__/composer-dock.test.tsx
new file mode 100644
index 0000000..97932b5
--- /dev/null
+++ b/web/src/views/compose/__tests__/composer-dock.test.tsx
@@ -0,0 +1,76 @@
+import { act } from "react";
+import { createRoot, type Root } from "react-dom/client";
+import { afterEach, beforeEach, describe, expect, it, vi } from "vitest";
+import { useCompose, type Draft } from "@/store/compose";
+import { ComposerDock } from "../ComposerDock";
+
+(globalThis as { IS_REACT_ACT_ENVIRONMENT?: boolean }).IS_REACT_ACT_ENVIRONMENT = true;
+
+// The question is which composers the dock puts on screen, not what is inside
+// them, so each composer is a bare marker carrying the state it was given.
+vi.mock("../Composer", () => ({
+  Composer: ({ draft }: { draft: Draft }) => (
+    <div className={`composer ${draft.maximized ? "maximized" : ""} ${draft.minimized ? "minimized" : ""}`} data-key={draft.key} />
+  ),
+}));
+
+/* jsdom has no matchMedia; each test says which side of the 768px breakpoint it stands at. */
+function setWidth(px: number) {
+  window.matchMedia = ((q: string) => ({
+    matches: /max-width:\s*(\d+)px/.test(q) ? px <= Number(RegExp.$1) : false,
+    media: q,
+    addEventListener() {},
+    removeEventListener() {},
+  })) as unknown as typeof window.matchMedia;
+}
+
+const draft = (key: string, init: Partial<Draft> = {}) => ({ key, minimized: false, maximized: false, ...init }) as Draft;
+
+describe("ComposerDock with a full-screen composer", () => {
+  let host: HTMLDivElement;
+  let root: Root;
+
+  beforeEach(() => {
+    host = document.createElement("div");
+    document.body.appendChild(host);
+    root = createRoot(host);
+  });
+
+  afterEach(() => {
+    act(() => root.unmount());
+    host.remove();
+    useCompose.setState({ drafts: [], activeKey: null });
+  });
+
+  const render = (drafts: Draft[], activeKey: string) => {
+    useCompose.setState({ drafts, activeKey });
+    act(() => root.render(<ComposerDock />));
+  };
+  const dock = () => host.querySelector(".composer-dock")!;
+
+  it("marks the dock so the other composers are hidden behind it", () => {
+    setWidth(1300);
+    render([draft("a"), draft("b", { maximized: true }), draft("c")], "b");
+    expect(dock().classList.contains("has-maximized")).toBe(true);
+    // Every composer stays mounted: the hiding is the stylesheet's, so nothing being typed elsewhere is lost.
+    expect(host.querySelectorAll(".composer").length).toBe(3);
+  });
+
+  it("leaves the dock alone while nobody is full screen", () => {
+    setWidth(1300);
+    render([draft("a"), draft("b")], "b");
+    expect(dock().classList.contains("has-maximized")).toBe(false);
+  });
+
+  it("does not count a full-screen composer that has since been minimised", () => {
+    setWidth(1300);
+    render([draft("a"), draft("b", { maximized: true, minimized: true })], "a");
+    expect(dock().classList.contains("has-maximized")).toBe(false);
+  });
+
+  it("is not a phone concern: there the active composer is already the only one open", () => {
+    setWidth(400);
+    render([draft("a"), draft("b", { maximized: true })], "b");
+    expect(dock().classList.contains("has-maximized")).toBe(false);
+  });
+});