All Praise to Allah Subhan o Taala and blessings on Prophet Muhammad peace be upon him His Family and Companions
Yes you can perform Wudhu during Bathing performing all of the steps with making an intention for wudhu but it is not allowed to perform wudhu in such a way that after you have performed ghusl then you do some other stuff and now you are continuing your wudhu this should be avoided you could wash your feet in the end of ghusl and here are the references which you have asked for
It was narrated from 'Aishah that when the Prophet (ﷺ) performed Ghusl
from Janabah he would start by washing his hands, then he would
perform Wudu' as for prayer, then he would dip his fingers in the
water, then run them through his hair, then he would pour water over
his head three times, then he would pour water over his entire
body.(Sunan An Nasai)
Aishah narrated:
"The Prophet would not perform Wudu after the Ghusl."(Tirmidhi)
Narrated Hisham bin Urwa: (on the authority of his father)
Aisha
said, "Whenever Allah's Messenger (ﷺ) took the bath of Janaba, he
cleaned his hands and performed ablution like that for prayer and then
took a bath and rubbed his hair, till he felt that the whole skin of
the head had become wet, then he would pour water thrice and wash the
rest of the body." `Aisha further said, "I and Allah's Messenger (ﷺ)
used to take a bath from a single water container, from which we took
water simultaneously."(Sahih Bukhari)
Allah Swt and his Messenger knows best.