refactor: replace Load More with Pagination across frontend and backend

- Replace all "Load More" / "Show More" buttons with Pagination components
  in model-list, bot-compaction, and bot-heartbeat views
- Convert backend log APIs (compaction, heartbeat, schedule) from
  cursor-based (before+limit) to offset+limit pagination with total_count
- Update SQL queries to use OFFSET+LIMIT and add COUNT queries
- Add shared parseOffsetLimit helper in handler_helpers.go
- Regenerate sqlc, Swagger docs, and TypeScript SDK
- Clean up unused i18n keys (loadMore, showMore, history.loadMore)

internal/handlers/handler_helpers.go

@@ -4,6 +4,8 @@ import (
 	"context"
 	"errors"
 	"net/http"
+	"strconv"
+	"strings"
 
 	"github.com/labstack/echo/v4"
 
@@ -46,3 +48,19 @@ func AuthorizeBotAccess(ctx context.Context, botService *bots.Service, accountSe
 	}
 	return bot, nil
 }
+
+// parseOffsetLimit extracts limit and offset query parameters with defaults.
+func parseOffsetLimit(c echo.Context) (limit, offset int) {
+	limit = 50
+	if raw := strings.TrimSpace(c.QueryParam("limit")); raw != "" {
+		if v, err := strconv.Atoi(raw); err == nil && v > 0 {
+			limit = v
+		}
+	}
+	if raw := strings.TrimSpace(c.QueryParam("offset")); raw != "" {
+		if v, err := strconv.Atoi(raw); err == nil && v >= 0 {
+			offset = v
+		}
+	}
+	return limit, offset
+}