refactor(types): rename AppType to AppId for semantic clarity

Rename `AppType` to `AppId` across the entire frontend codebase to better
reflect its purpose as an application identifier rather than a type category.
This aligns frontend naming with backend command parameter conventions.

Changes:
- Rename type `AppType` to `AppId` in src/lib/api/types.ts
- Remove `AppType` export from src/lib/api/index.ts
- Update all component props from `appType` to `appId` (43 files)
- Update all variable names from `appType` to `appId`
- Synchronize documentation (CHANGELOG, refactoring plans)
- Update test files and MSW mocks

BREAKING CHANGE: `AppType` type is no longer exported. Use `AppId` instead.
All component props have been renamed from `appType` to `appId`.

tests/msw/handlers.ts

@@ -1,5 +1,5 @@
 import { http, HttpResponse } from "msw";
-import type { AppType } from "@/lib/api/types";
+import type { AppId } from "@/lib/api/types";
 import type { McpServer, Provider, Settings } from "@/types";
 import {
   addProvider,
@@ -37,19 +37,19 @@ const success = <T>(payload: T) => HttpResponse.json(payload as any);
 
 export const handlers = [
   http.post(`${TAURI_ENDPOINT}/get_providers`, async ({ request }) => {
-    const { app } = await withJson<{ app: AppType }>(request);
+    const { app } = await withJson<{ app: AppId }>(request);
     return success(getProviders(app));
   }),
 
   http.post(`${TAURI_ENDPOINT}/get_current_provider`, async ({ request }) => {
-    const { app } = await withJson<{ app: AppType }>(request);
+    const { app } = await withJson<{ app: AppId }>(request);
     return success(getCurrentProviderId(app));
   }),
 
   http.post(`${TAURI_ENDPOINT}/update_providers_sort_order`, async ({ request }) => {
     const { updates = [], app } = await withJson<{
       updates: { id: string; sortIndex: number }[];
-      app: AppType;
+      app: AppId;
     }>(request);
     updateSortOrder(app, updates);
     return success(true);
@@ -58,7 +58,7 @@ export const handlers = [
   http.post(`${TAURI_ENDPOINT}/update_tray_menu`, () => success(true)),
 
   http.post(`${TAURI_ENDPOINT}/switch_provider`, async ({ request }) => {
-    const { id, app } = await withJson<{ id: string; app: AppType }>(request);
+    const { id, app } = await withJson<{ id: string; app: AppId }>(request);
     const providers = listProviders(app);
     if (!providers[id]) {
       return HttpResponse.json(false, { status: 404 });
@@ -70,7 +70,7 @@ export const handlers = [
   http.post(`${TAURI_ENDPOINT}/add_provider`, async ({ request }) => {
     const { provider, app } = await withJson<{
       provider: Provider & { id?: string };
-      app: AppType;
+      app: AppId;
     }>(request);
 
     const newId = provider.id ?? `mock-${Date.now()}`;
@@ -81,14 +81,14 @@ export const handlers = [
   http.post(`${TAURI_ENDPOINT}/update_provider`, async ({ request }) => {
     const { provider, app } = await withJson<{
       provider: Provider;
-      app: AppType;
+      app: AppId;
     }>(request);
     updateProvider(app, provider);
     return success(true);
   }),
 
   http.post(`${TAURI_ENDPOINT}/delete_provider`, async ({ request }) => {
-    const { id, app } = await withJson<{ id: string; app: AppType }>(request);
+    const { id, app } = await withJson<{ id: string; app: AppId }>(request);
     deleteProvider(app, id);
     return success(true);
   }),
@@ -102,7 +102,7 @@ export const handlers = [
 
   // MCP APIs
   http.post(`${TAURI_ENDPOINT}/get_mcp_config`, async ({ request }) => {
-    const { app } = await withJson<{ app: AppType }>(request);
+    const { app } = await withJson<{ app: AppId }>(request);
     return success(getMcpConfig(app));
   }),
 
@@ -111,7 +111,7 @@ export const handlers = [
 
   http.post(`${TAURI_ENDPOINT}/set_mcp_enabled`, async ({ request }) => {
     const { app, id, enabled } = await withJson<{
-      app: AppType;
+      app: AppId;
       id: string;
       enabled: boolean;
     }>(request);
@@ -121,7 +121,7 @@ export const handlers = [
 
   http.post(`${TAURI_ENDPOINT}/upsert_mcp_server_in_config`, async ({ request }) => {
     const { app, id, spec } = await withJson<{
-      app: AppType;
+      app: AppId;
       id: string;
       spec: McpServer;
     }>(request);
@@ -130,7 +130,7 @@ export const handlers = [
   }),
 
   http.post(`${TAURI_ENDPOINT}/delete_mcp_server_in_config`, async ({ request }) => {
-    const { app, id } = await withJson<{ app: AppType; id: string }>(request);
+    const { app, id } = await withJson<{ app: AppId; id: string }>(request);
     deleteMcpServer(app, id);
     return success(true);
   }),
@@ -162,7 +162,7 @@ export const handlers = [
   }),
 
   http.post(`${TAURI_ENDPOINT}/get_config_dir`, async ({ request }) => {
-    const { app } = await withJson<{ app: AppType }>(request);
+    const { app } = await withJson<{ app: AppId }>(request);
     return success(app === "claude" ? "/default/claude" : "/default/codex");
   }),