Customizing ComboBox dropdown icon

I am looking at the ComboBox’s Custom Value Entry example here
The “Adding custom values to existing model” is exactly what I need.

However, in my project, I need it to appear as a TextField
Is there anyway to remove the drop down indicator in the ComboBox ?
If not, is there any way to replace it with a Vaadin.SEARCH or Vaadin.PAPERPLANE icons? I can live with either of them.

Dropdown icon

The toggle button has the toggle-button part name. You can use a little bit of custom CSS to hide it e.g. like this:

.myCombobox::part(toggle-button) {
  display: none;
}

You can also change it to use a different icon even though the way you do that varies between the Lumo and Aura themes.