The type of conflict which occurs in the excerpt is the following one:
c) external.
A man gives his opinion on a certain matter and that has a strong effect on another person. It is an example of external conflict, since the conflict has its origin in the outside, that is, what causes it does not come from within one's own mind, it is rather caused by what someone else says or does. The banker strongly disagrees with the lawyer; he even sounds angry when he does so.