Reusing exception handling code in C++

I have these two functions, with duplicated exception treatment, which has the sole purpose of displaying an error message:

void func1() noexcept {
  try {
    do_task();
    do_another_task();
  } catch (const std::out_of_range& e) {
    show_msg("Out of range error", e.what());
  } catch (const std::logic_error& e) {
    show_msg("Logic error", e.what());
  } catch (const std::system_error& e) {
    show_msg("System error", e.what());
  } catch (const std::runtime_error& e) {
    show_msg("Runtime error", e.what());
  } catch (const std::exception& e) {
    show_msg("Generic error", e.what());
  }
}

void func2() noexcept {
  try {
    do_something();
    do_something_else();
    do_even_more();
  } catch (const std::out_of_range& e) {
    show_msg("Out of range error", e.what());
  } catch (const std::logic_error& e) {
    show_msg("Logic error", e.what());
  } catch (const std::system_error& e) {
    show_msg("System error", e.what());
  } catch (const std::runtime_error& e) {
    show_msg("Runtime error", e.what());
  } catch (const std::exception& e) {
    show_msg("Generic error", e.what());
  }
}

I could just handle std::exception and show a single generic message, but I want to be more specific, that's why I'm catching all possible exceptions.

I want to reuse this exception treatment code. I thought about this:

void run_treated(std::function<void()> func) noexcept {
  try {
    func();
  } catch // ... all the catches go here
}

void func1() noexcept {
  run_treated([]()->void {
    do_task();
    do_another_task();
  });
}

void func2() noexcept {
  do_something();
  do_something_else();
  do_even_more();
}

1. Is this a good approach?
2. If so, run_treated will be called a lot. Should I be concerned about performance?
3. Any other approaches?