Unless your bread machine manual says otherwise, add the initial ingredients to the pan in the order listed above.
If your machine has a Brioche setting, use it, otherwise just use the basic bread setting.
Brioche cycle machines will probably beep to indicate when additional ingredients need to be added. If yours doesn’t have that setting, just add them about 10 minutes before the end of the first kneading cycle, or about 60 minutes after starting.
When the loaf is done, let it cool in the tin for 5 minutes then turn it out onto a wire-rack.
Let it cool completely before slicing it.