Fix init time logic to ensure that time is not initiated‌ when the last cache will not updated during the execution phase (#17094)

Author: Wei-hao-Li

integration-test/src/test/java/org/apache/iotdb/relational/it/query/recent/IoTDBTableAggregationIT.java

@@ -2498,6 +2498,15 @@ public void lastTest() {
         DATABASE_NAME,
         2);
 
+    expectedHeader = new String[] {"device_id", "_col1"};
+    retArray = new String[] {"d01,0xcafebabe55,", "d02,0xcafebabe50,"};
+    repeatTest(
+        "select device_id, last(s8) from table1 where device_id = 'd01' or device_id = 'd02' group by device_id order by device_id",
+        expectedHeader,
+        retArray,
+        DATABASE_NAME,
+        2);
+
     expectedHeader =
         new String[] {
           "_col0", "_col1", "_col2", "_col3", "_col4", "_col5", "_col6", "_col7", "_col8", "_col9",

iotdb-core/datanode/src/main/java/org/apache/iotdb/db/queryengine/plan/planner/TableOperatorGenerator.java

@@ -3247,9 +3247,9 @@ private LastQueryAggTableScanOperator constructLastQueryAggTableScanOperator(
               .initOrInvalidateLastCache(
                   node.getQualifiedObjectName().getDatabaseName(),
                   deviceEntry.getDeviceID(),
-                  needInitTime && node.getGroupingKeys().isEmpty()
-                      ? Arrays.copyOfRange(targetColumns, 0, targetColumns.length - 1)
-                      : targetColumns,
+                  needInitTime || node.getGroupingKeys().isEmpty()
+                      ? targetColumns
+                      : Arrays.copyOfRange(targetColumns, 0, targetColumns.length - 1),
                   false);
         } else {
           hitCachesIndexes.add(i);