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/schema/rlive/play.go

@@ -0,0 +1,31 @@
+package rliveschema
+
+import liveschema "honoka-chan/internal/schema/live"
+
+type PlayReq struct {
+	Module      string `json:"module"`
+	PartyUserID int64  `json:"party_user_id"`
+	Action      string `json:"action"`
+	Mgd         int    `json:"mgd"`
+	IsTraining  bool   `json:"is_training"`
+	UnitDeckID  int    `json:"unit_deck_id"`
+	Token       string `json:"token"`
+	TimeStamp   int    `json:"timeStamp"`
+	LpFactor    int    `json:"lp_factor"`
+	CommandNum  string `json:"commandNum"`
+}
+
+func (req PlayReq) ToLivePlayReq(liveDifficultyID int) liveschema.PlayReq {
+	return liveschema.PlayReq{
+		Module:           req.Module,
+		PartyUserID:      req.PartyUserID,
+		Action:           req.Action,
+		Mgd:              req.Mgd,
+		IsTraining:       req.IsTraining,
+		UnitDeckID:       req.UnitDeckID,
+		LiveDifficultyID: itoa(liveDifficultyID),
+		TimeStamp:        req.TimeStamp,
+		LpFactor:         req.LpFactor,
+		CommandNum:       req.CommandNum,
+	}
+}