refactor: rename Batch to Partition across pipeline

Rename internal types and channels from Batch to Partition for consistency with the data model.

internal/app/convert/main.go

@@ -0,0 +1,18 @@
+package convert
+
+func ToInt64(v any) (int64, bool) {
+	switch t := v.(type) {
+	case int:
+		return int64(t), true
+	case int8:
+		return int64(t), true
+	case int16:
+		return int64(t), true
+	case int32:
+		return int64(t), true
+	case int64:
+		return int64(t), true
+	default:
+		return 0, false
+	}
+}