GPT-4 only comes with this answer:

As of my knowledge cutoff in September 2021, there were 195 recognized sovereign states in the world, including 193 member states of the United Nations and 2 observer states (the Holy See and Palestine). However, these numbers can change due to geopolitical events such as countries gaining or losing independence, changes in recognition status, etc. Please consult the most recent data for the current number.

A win for Bard imo