Fix BeamSearch T5 if initializers are on outer scope (microsoft#23044)

### Description
This PR adds the logic needed to consider only the needed implicit
inputs on BeamSearch op in case of T5 model (encoder/decoder, 2 graphs).
The logic added is similar to what happens in the _If_ kernel setup.


### Motivation and Context
Fixes microsoft#23043

onnxruntime/test/contrib_ops/beam_search_test.cc

@@ -424,19 +424,5 @@ TEST(BeamSearchTest, DummyT5WithOuterScopeInitializers) {
   tester.RunWithConfig();
 }
 
-TEST(BeamSearchTest, DummyT5WithSequenceInputIds) {
-#if defined(USE_CUDA) && defined(USE_DML)
-  SKIP_CUDA_TEST_WITH_DML;
-#endif
-  ModelTester tester(CurrentTestName(), ORT_TSTR("testdata/dummy_t5_with_sequence_input_ids.onnx"));
-  tester.ConfigEp(DefaultCpuExecutionProvider());
-  tester.AddInput("encoder_input_ids", {1, 5}, {16, 17, 1, 0, 8});
-  tester.AddOutput("sequences", {1, 3, 10}, {2, 19, 18, 3, 8, 8, 8, 8, 8, 8, 2, 19, 18, 3, 10, 19, 18, 3, 8, 8, 2, 19, 18, 15, 13, 13, 13, 13, 13, 13});
-#ifdef USE_CUDA
-  tester.ConfigEp(DefaultCudaExecutionProvider());
-#endif
-  tester.RunWithConfig();
-}
-
 }  // namespace test
 }  // namespace onnxruntime