[FLINK-36245][FOLLOWUP] Remove the @deprecated for ArrowSourceFunction and SinkFunction

Author: beliefer

flink-python/src/main/java/org/apache/flink/table/runtime/arrow/sources/ArrowSourceFunction.java

@@ -63,7 +63,6 @@
  * @deprecated This class is based on the {@link SourceFunction} API, which is due to be removed.
  *     Use the new {@link org.apache.flink.api.connector.source.Source} API instead.
  */
-@Deprecated
 @Internal
 public class ArrowSourceFunction extends RichParallelSourceFunction<RowData>
         implements ResultTypeQueryable<RowData>, CheckpointedFunction {

flink-runtime/src/main/java/org/apache/flink/streaming/api/datastream/DataStream.java

@@ -864,7 +864,11 @@ protected DataStream<T> setConnectionType(StreamPartitioner<T> partitioner) {
      *
      * @param sinkFunction The object containing the sink's invoke function.
      * @return The closed DataStream.
+     * @deprecated This method relies on the {@link SinkFunction} API, which is due to be removed.
+     *     Use the {@link #sinkTo(Sink)} method based on the new {@link
+     *     org.apache.flink.api.connector.sink2.Sink} API instead.
      */
+    @Deprecated
     public DataStreamSink<T> addSink(SinkFunction<T> sinkFunction) {
 
         // read the output type of the input Transform to coax out errors about MissingTypeInfo

flink-runtime/src/main/java/org/apache/flink/streaming/api/datastream/KeyedStream.java

@@ -301,6 +301,7 @@ protected <R> SingleOutputStreamOperator<R> doTransform(
     }
 
     @Override
+    @Deprecated
     public DataStreamSink<T> addSink(SinkFunction<T> sinkFunction) {
         DataStreamSink<T> result = super.addSink(sinkFunction);
         result.getLegacyTransformation().setStateKeySelector(keySelector);

flink-runtime/src/main/java/org/apache/flink/streaming/api/functions/sink/legacy/SinkFunction.java

@@ -32,7 +32,6 @@
  *     org.apache.flink.api.connector.sink2.Sink} interface instead.
  */
 @Internal
-@Deprecated
 public interface SinkFunction<IN> extends Function, Serializable {
 
     /**