[PYTHON] add __deepcopy__, __copy__ for Tensor (#28860)

### Details:
Add support of `deepcopy()` and `copy()` for ov.Tensor Python API
`copy()` returns a shallow copy, `deepcopy()` a new object with its own
data buffer

### Ticket:
161969

src/bindings/python/src/pyopenvino/core/tensor.cpp

@@ -496,4 +496,15 @@ void regclass_Tensor(py::module m) {
 
         return "<" + Common::get_class_name(self) + ": " + ss.str() + ">";
     });
+
+    cls.def("__copy__", [](const ov::Tensor& self) {
+        ov::Tensor dst = self;
+        return dst;
+    });
+
+    cls.def("__deepcopy__", [](const ov::Tensor& self, py::dict& memo) {
+        ov::Tensor dst(self.get_element_type(), self.get_shape());
+        std::memcpy(dst.data(), self.data(), self.get_byte_size());
+        return dst;
+    });
 }

src/bindings/python/tests/test_runtime/test_tensor.py

@@ -2,6 +2,7 @@
 # Copyright (C) 2018-2025 Intel Corporation
 # SPDX-License-Identifier: Apache-2.0
 
+from copy import deepcopy, copy
 import os
 import subprocess
 import sys
@@ -617,3 +618,25 @@ def get_tensor():
 
     tensor = get_tensor()
     assert np.allclose(tensor.data[0][0][0:3], [0, 0, 1])
+
+
+@pytest.mark.parametrize(
+    ("copy_func", "should_share_data"), [(copy, True), (deepcopy, False)]
+)
+def test_copy_and_deepcopy(copy_func, should_share_data):
+    shape = (3, 4)
+    value, outlier = 7, 100
+    tensor_data = np.full(shape, value)
+    tensor = ov.Tensor(tensor_data)
+    tensor_copy = copy_func(tensor)
+
+    assert np.array_equal(tensor_copy.data, tensor.data)
+    assert tensor_copy is not tensor
+    # Update value of the original tensor
+    tensor.data[0, 0] = outlier
+    assert tensor.data[0, 0] == outlier
+
+    if should_share_data:
+        assert tensor_copy.data[0, 0] == outlier
+    else:
+        assert tensor_copy.data[0, 0] == value