cli/init: Remove unnecessary `clap` conflict rule
This removes an unnecessary conflict rule from the mutually exclusive
arguments --private and --public. Conflict rules only need to be set
for one of the two arguments, they do not need to be set for each.
This removes an unnecessary conflict rule from the mutually exclusive
arguments --private and --public. Conflict rules only need to be set
for one of the two arguments, they do not need to be set for each.