What is the connection between Lady Macbeth and the Witches in Shakespeare's Macbeth?

“sterile”

“Furthermore, Stephen Orgel and other New Historicists have pointed out the historical context of King James I's Daemonologie. In this framework, the "fourth witch" is a necessary narrative device; she represents the "domestic witch"—the hidden, intimate danger that exists within the household, as opposed to the wild, external threat of the heath.”

“Gender and the Supernatural: Why does Shakespeare associate the subversion of the political order specifically with the subversion of female gender roles?”

“many critics argue that Lady Macbeth functions as a "fourth witch," bridging the gap between the supernatural prophecies and the physical world of political murder.”