[NPU][IE-MDK] Unskip AUTO/MULTI tests which used to use private properties (#31875)

### Details:
 - Unskipping AUTO/MULTI tests which used to use private properties
- Remove OVClassCompiledModelGetPropertyTest_MODEL_PRIORITY as it was
setting an unsupported property

### Tickets:
 - e118331

Author: sbutnari

src/plugins/intel_npu/tests/functional/shared_tests_instances/behavior/compiled_model/properties.cpp

@@ -298,14 +298,6 @@ INSTANTIATE_TEST_SUITE_P(
                        ::testing::ValuesIn(compiledModelConfigs + allModelPriorities)),
     ov::test::utils::appendPlatformTypeTestName<OVClassCompiledModelGetPropertyTest_MODEL_PRIORITY>);
 
-INSTANTIATE_TEST_SUITE_P(
-    smoke_Hetero_BehaviorTests,
-    OVClassCompiledModelGetPropertyTest_MODEL_PRIORITY,
-    ::testing::Combine(::testing::Values(std::string(ov::test::utils::DEVICE_HETERO) + ":" +
-                                         ov::test::utils::DEVICE_NPU),
-                       ::testing::ValuesIn(heteroCompiledModelConfigs + allModelPriorities)),
-    ov::test::utils::appendPlatformTypeTestName<OVClassCompiledModelGetPropertyTest_MODEL_PRIORITY>);
-
 INSTANTIATE_TEST_SUITE_P(
     smoke_Hetero_BehaviorTests,
     OVClassCompiledModelGetPropertyTest_DEVICE_PRIORITY,

src/plugins/intel_npu/tests/functional/shared_tests_instances/npu_skip_func_tests.xml

@@ -644,36 +644,6 @@ Example:
         </filters>
     </skip_config>
 
-    <!-- E#118331 -->
-    <skip_config>
-        <message>platform and compiler_type are private</message>
-        <enable_rules>
-            <backend>LEVEL0</backend>
-            <device>!3720</device>
-        </enable_rules>
-        <filters>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestCallbackTests.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestCallbackTests.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestCallbackTestsNPU.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestCallbackTestsNPU.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestIOTensorTestNPU.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestIOTensorTest.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestMultithreadingTests.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestMultithreadingTestsNPU.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestPerfCountersExceptionTest.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestPerfCountersTest.*</filter>
-            <filter>.*smoke_Multi_BehaviorTests/OVInferRequestWaitTests.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestMultithreadingTests.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestMultithreadingTestsNPU.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestPerfCountersExceptionTest.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestPerfCountersTest.*</filter>
-            <filter>.*smoke_Auto_BehaviorTests/OVInferRequestWaitTests.*</filter>
-            <filter>.*smoke_OVClassNetworkTestP/OVClassNetworkTestPNPU.*</filter>
-            <filter>.*smoke_OVClassLoadNetworkTest/OVClassLoadNetworkTestNPU.*</filter>
-            <filter>.*smoke_Hetero_BehaviorTests_VariableState/OVInferRequestVariableStateTest.*</filter>
-        </filters>
-    </skip_config>
-
     <!-- E####### -->
     <skip_config>
         <message>Test will set NPU_TILES to -1 which is an invalid value, in this case default values don't work</message>
@@ -685,19 +655,6 @@ Example:
         </filters>
     </skip_config>
 
-    <!-- E#118331 -->
-    <skip_config>
-        <message>Private properties cannot be accessed by HETERO compiled model</message>
-        <enable_rules>
-            <backend>LEVEL0</backend>
-        </enable_rules>
-        <filters>
-            <filter>.*smoke_Hetero_BehaviorTests.*OVClassCompiledModelGetPropertyTest_MODEL_PRIORITY.*</filter>
-            <filter>.*smoke_Hetero_BehaviorTests.*OVClassCompiledModelGetPropertyTest_EXEC_DEVICES.*</filter>
-            <filter>.*smoke_Hetero_BehaviorTests.*OVCompileModelGetExecutionDeviceTests.*</filter>
-        </filters>
-    </skip_config>
-
     <!-- E###### -->
     <skip_config>
         <message>NPU plugin doesn't support infer dynamic</message>