diff --git a/src/editor/core/actions.ts b/src/editor/core/actions.ts
index fb82ead1b..0288c81a1 100644
--- a/src/editor/core/actions.ts
+++ b/src/editor/core/actions.ts
@@ -806,6 +806,7 @@ export function registerEditorActions(): () => void {
       title: "Add or Remove Caret",
       category: "Editor Actions",
       when: "textEditorActive",
+      hidden: true,
       // The mouse selection style handles the pointer position and dragging.
       run: () => {},
     },
diff --git a/src/features/settings/__tests__/keymap.test.ts b/src/features/settings/__tests__/keymap.test.ts
index 470a34988..89d5ff6da 100644
--- a/src/features/settings/__tests__/keymap.test.ts
+++ b/src/features/settings/__tests__/keymap.test.ts
@@ -36,9 +36,11 @@ import {
   withCustomOverrides,
   type KeymapDraft,
 } from "../keymap/model";
-import { buildKeymapTree } from "../keymap/KeymapPage";
+import { buildKeymapTree, keymapSearchLabels } from "../keymap/KeymapPage";
 import { groupPath } from "../keymap/groups";
+import { registerEditorActions } from "@/editor/core/actions";
 import { registerLspActions } from "@/editor/lsp/actions";
+import { matchActions } from "@/features/search/everywhere/model";
 import { _resetI18nForTests, setLocale } from "@/platform/i18n";
 
 it("finds the translated declaration action by 声明 and its English title", async () => {
@@ -204,6 +206,27 @@ describe("conflicts", () => {
 });
 
 describe("shortcut search", () => {
+  it.each(Object.keys(PRESETS))("keeps the mouse-only caret action configurable in %s", (preset) => {
+    const dispose = registerEditorActions();
+    const originalKeymap = useKeymap.getState();
+    const id = "editor.addOrRemoveCaret";
+    const title = "Add or Remove Caret";
+    try {
+      expect(matchActions(allActions(), title, { isEnabled: () => true, recent: [id] })).toEqual([]);
+      const variants: KeymapDraft["overrides"][] = [{}, { [id]: ["Alt+Button1"] }, { [id]: [] }];
+      for (const overrides of variants) {
+        useKeymap.setState({ preset, overrides });
+        expect(keymapSearchLabels()).toContain(title);
+        const tree = buildKeymapTree(allActions(), { preset, overrides }, title, "");
+        const group = tree.find((node) => node.key === "grp:Editor Actions");
+        expect(group?.kind === "group" && group.children.map((node) => node.key)).toEqual([id]);
+      }
+    } finally {
+      useKeymap.setState(originalKeymap);
+      dispose();
+    }
+  });
+
   it("matches exact bindings and chord first strokes", () => {
     expect(bindingMatches(["Meta+K Meta+C"], "Meta+K")).toBe(true);
     expect(bindingMatches(["Shift+Meta+O"], "Meta+Shift+O")).toBe(true);
diff --git a/src/features/settings/keymap/KeymapPage.tsx b/src/features/settings/keymap/KeymapPage.tsx
index f97ad6654..abd325a50 100644
--- a/src/features/settings/keymap/KeymapPage.tsx
+++ b/src/features/settings/keymap/KeymapPage.tsx
@@ -9,7 +9,7 @@
 import { useMemo, useRef, useState, type MouseEvent } from "react";
 import clsx from "clsx";
 import { useActions, allActions, type Action } from "@/platform/actions";
-import { defaultPreset, formatBinding, type Keymap, PRESET_TITLES, PRESETS } from "@/platform/keymap";
+import { defaultPreset, formatBinding, type Keymap, PRESET_TITLES, PRESETS, useKeymap } from "@/platform/keymap";
 import { confirm } from "@/workbench/messages";
 import {
   HighlightedText,
@@ -36,6 +36,7 @@ import {
   deleteKeymap,
   duplicateKeymap,
   isModified,
+  isKeymapAction,
   keymapName,
   removeBinding,
   removeConflicts,
@@ -61,8 +62,9 @@ type KNode =
 type GroupNode = Extract<KNode, { kind: "group" }>;
 
 export function keymapSearchLabels(): string[] {
+  const draft = useKeymap.getState();
   return allActions()
-    .filter((a) => !a.hidden)
+    .filter((a) => isKeymapAction(a, draft))
     .map((a) => a.title);
 }
 
@@ -107,7 +109,7 @@ export function buildKeymapTree(
   const q = query.toLowerCase();
   for (const action of actions) {
     const bindings = resolveBindings(draft, action.id);
-    if (action.hidden && !bindings.length) continue;
+    if (!isKeymapAction(action, draft)) continue;
     let hits: number[] | null = null;
     if (query) {
       hits = wordMatch(action.title, query);
diff --git a/src/features/settings/keymap/model.ts b/src/features/settings/keymap/model.ts
index e5d335b24..ed7097420 100644
--- a/src/features/settings/keymap/model.ts
+++ b/src/features/settings/keymap/model.ts
@@ -27,6 +27,11 @@ export function resolveBindings(draft: KeymapDraft, id: string): string[] {
   return draft.overrides[id]?.map(normalizeBinding) ?? presetBindings(draft.preset, id);
 }
 
+/** Hidden actions with shortcuts stay configurable even after their bindings are removed. */
+export function isKeymapAction(action: Action, draft: KeymapDraft): boolean {
+  return !action.hidden || action.id in draft.overrides || presetBindings(draft.preset, action.id).length > 0;
+}
+
 export function isModified(draft: KeymapDraft, id: string): boolean {
   return id in draft.overrides;
 }