Final answer:
Paylor allows Katniss to confront Snow for closure, to understand the truth about recent events and to signify the change in leadership and ideology at the end of the regime.
Step-by-step explanation:
Paylor's motive for allowing Katniss to confront President Snow in Mockingjay, the final book of the Hunger Games series, is multifaceted. Firstly, President Paylor understands the depth of personal animosity between Katniss and Snow, and allows this meeting as a form of closure for Katniss. Secondly, Paylor might be attempting to provide a way for Katniss to glean the truth about recent events directly from Snow, possibly sowing seeds of doubt about the direction the rebellion may be taking and who should be trusted. Lastly, this confrontation serves as a powerful symbolic moment where the oppressor is faced by the symbol of the rebellion, signifying the turning of tides and the imminent change in leadership and ideology that accompanies the end of a regime.