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>

internal/handler/live/gameover.go

@@ -12,15 +12,21 @@ import (
 func gameOver(ctx *gin.Context) {
 	ss := session.Get(ctx)
 	defer func() {
-		ss.ClearLiveInProgress()
+		if ss.UserEng != nil {
+			ss.ClearLiveInProgress()
+		}
 		ss.Finalize()
 	}()
 
-	ss.Respond(liveschema.GameOverResp{
+	ss.Respond(BuildGameOverResp())
+}
+
+func BuildGameOverResp() liveschema.GameOverResp {
+	return liveschema.GameOverResp{
 		ResponseData: []any{},
 		ReleaseInfo:  []any{},
 		StatusCode:   200,
-	})
+	}
 }
 
 func init() {