refactor: update play time property and enhance player settings management

- Changed the play time property from 'play_time' to 'time' in HomeScreen.
- Removed unused player control functions from PlayScreen.
- Added PlayerSettings interface and implemented PlayerSettingsManager for local storage of player settings.
- Refactored PlayRecordManager to merge API records with local player settings.
- Updated authentication logic in authStore to handle optional username parameter in login function.
- Cleaned up and optimized imports across various components.

services/api.ts

@@ -57,6 +57,7 @@ export interface PlayRecord {
   play_time: number;
   total_time: number;
   save_time: number;
+  year: string;
 }
 
 export interface ApiSite {
@@ -108,7 +109,7 @@ export class API {
     return response.json();
   }
 
-  async login(username: string | undefined, password: string): Promise<{ ok: boolean }> {
+  async login(username?: string | undefined, password?: string): Promise<{ ok: boolean }> {
     const response = await this._fetch("/api/login", {
       method: "POST",
       headers: { "Content-Type": "application/json" },