refactor(profiles): shared project entity with per-scope switching

Projects are now global shared entities; Claude and Codex groups switch
independently via scoped current pointers and scoped payload slots.

- Remove scope column from profiles; keep current_profile_id_<scope>
- Use Option<Vec<String>> for mcp/skills to distinguish 'never captured'
  from 'captured empty', preventing cross-side accidental disable
- Update/apply operations scoped to the active group via merge_scope_from
- Tray menu nests same shared list under Claude Code/Codex groups
- Add i18n for per-scope tooltips and 'not saved for this side' hint

Refs: profile P1 shared-entity redesign

src/components/profiles/scope.ts

@@ -0,0 +1,41 @@
+import type { AppId } from "@/lib/api/types";
+import type { PerApp, Profile, ProfileScope } from "@/lib/api/profiles";
+
+/**
+ * 应用页 → 所属项目分组（后端 ProfileScope::for_app 的前端镜像，两处同步）
+ *
+ * 不在映射里的应用不支持 Profile，其标签页不渲染切换器。
+ */
+export const APP_PROFILE_SCOPE: Partial<Record<AppId, ProfileScope>> = {
+  claude: "claude",
+  "claude-desktop": "claude",
+  codex: "codex",
+};
+
+/** 分组显示名（产品名，不进 i18n；与后端托盘子菜单标签一致） */
+export const PROFILE_SCOPE_LABELS: Record<ProfileScope, string> = {
+  claude: "Claude Code",
+  codex: "Codex",
+};
+
+/** 分组内的 payload 槽位 key（后端 ProfileScope::apps 的前端镜像） */
+const SCOPE_SLOT_KEYS: Record<ProfileScope, (keyof PerApp<unknown>)[]> = {
+  claude: ["claude", "claude-desktop"],
+  codex: ["codex"],
+};
+
+/**
+ * 项目在某分组是否拍过快照（任一槽位非 null 即视为拍过）
+ *
+ * 未拍过的项目在该分组应用时不改动配置，只绑定 current 标记。
+ */
+export function hasScopeSnapshot(profile: Profile, scope: ProfileScope) {
+  const { providers, mcp, skills, prompts } = profile.payload;
+  return SCOPE_SLOT_KEYS[scope].some(
+    (app) =>
+      providers[app] !== null ||
+      mcp[app] !== null ||
+      skills[app] !== null ||
+      prompts[app] !== null,
+  );
+}