Improve live and random live handling

- Add random live handlers, schemas and persistence for lot/play/continue/gameover/reward flow
- Update live status and schedule generation, including special rotation handling and CN timezone alignment
- Add config support for unlocking all daily special rotation songs and document the option
- Refresh live play, reward, precise score and session logic plus bundled main.db updates

Signed-off-by: Sean Du <do4suki@gmail.com>

config/config.go

@@ -23,8 +23,9 @@ type AppConfigs struct {
 }
 
 type Settings struct {
-	ListenPort string `json:"listen_port"`
-	CdnServer  string `json:"cdn_server"`
+	ListenPort               string `json:"listen_port"`
+	CdnServer                string `json:"cdn_server"`
+	UnlockAllSpecialRotation bool   `json:"unlock_all_special_rotation"`
 }
 
 func InitConfig() {
@@ -35,8 +36,9 @@ func DefaultConfigs() *AppConfigs {
 	return &AppConfigs{
 		AppName: "honoka-chan",
 		Settings: Settings{
-			ListenPort: "8080",
-			CdnServer:  "http://127.0.0.1:8080/static",
+			ListenPort:               "8080",
+			CdnServer:                "http://127.0.0.1:8080/static",
+			UnlockAllSpecialRotation: false,
 		},
 	}
 }