refactor: patch connection indicator with timestamp

Server patches the ConnectionIndicator element with a timestamp on
each heartbeat. Client-side JS checks every second if the timestamp
is stale (>20s) and toggles red/green accordingly.

This properly detects connection loss since the indicator will turn
red if no patches are received.

features/c4game/handlers.go

@@ -16,6 +16,7 @@ import (
 	"github.com/ryanhamamura/games/connect4"
 	"github.com/ryanhamamura/games/db/repository"
 	"github.com/ryanhamamura/games/features/c4game/pages"
+	sharedcomponents "github.com/ryanhamamura/games/features/common/components"
 	"github.com/ryanhamamura/games/sessions"
 )
 
@@ -119,7 +120,7 @@ func HandleGameEvents(store *connect4.Store, nc *nats.Conn, sm *scs.SessionManag
 		}
 
 		sendPing := func() error {
-			return sse.PatchSignals([]byte(fmt.Sprintf(`{"lastPing":%d}`, time.Now().UnixMilli())))
+			return sse.PatchElementTempl(sharedcomponents.ConnectionIndicator(time.Now().UnixMilli()))
 		}
 
 		// Send initial render and ping