Added exception translator specific mutex used with try_translate_exceptions (#5362)

* Added exception translator specific mutex used with try_translate_exceptions
Fixes #5346

* - Replaced with_internals_for_exception_translator by with_exception_translators
- Incremented PYBIND11_INTERNALS_VERSION
- Added a test

* style: pre-commit fixes

* Fixed formatting and added explicit to ctors

* Addressed PR review comments

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>

tests/test_exceptions.cpp

@@ -111,6 +111,16 @@ struct PythonAlreadySetInDestructor {
     py::str s;
 };
 
+struct CustomData {
+    explicit CustomData(const std::string &a) : a(a) {}
+    std::string a;
+};
+
+struct MyException7 {
+    explicit MyException7(const CustomData &message) : message(message) {}
+    CustomData message;
+};
+
 TEST_SUBMODULE(exceptions, m) {
     m.def("throw_std_exception",
           []() { throw std::runtime_error("This exception was intentionally thrown."); });
@@ -385,4 +395,33 @@ TEST_SUBMODULE(exceptions, m) {
 
     // m.def("pass_exception_void", [](const py::exception<void>&) {}); // Does not compile.
     m.def("return_exception_void", []() { return py::exception<void>(); });
+
+    m.def("throws7", []() {
+        auto data = CustomData("abc");
+        throw MyException7(data);
+    });
+
+    py::class_<CustomData>(m, "CustomData", py::module_local())
+        .def(py::init<const std::string &>())
+        .def_readwrite("a", &CustomData::a);
+
+    PYBIND11_CONSTINIT static py::gil_safe_call_once_and_store<py::object>
+        PythonMyException7_storage;
+    PythonMyException7_storage.call_once_and_store_result([&]() {
+        auto mod = py::module_::import("custom_exceptions");
+        py::object obj = mod.attr("PythonMyException7");
+        return obj;
+    });
+
+    py::register_local_exception_translator([](std::exception_ptr p) {
+        try {
+            if (p) {
+                std::rethrow_exception(p);
+            }
+        } catch (const MyException7 &e) {
+            auto exc_type = PythonMyException7_storage.get_stored();
+            py::object exc_inst = exc_type(e.message);
+            PyErr_SetObject(PyExc_Exception, exc_inst.ptr());
+        }
+    });
 }