I would say
> {}{}{}
for "I'd like to make an appointment. (when for example calling up a doctor's practice)"
and
> {}{}{}{}{}{}{}{}{}{}{}{}{}
for "I'd like to make an appointment to change my foreign driver's license into a Japanese one. (when calling up the prefectural police)"
For the record, Japanese version -> < uses the word .
For the record (again,) corresponds to "an act of assigning a job or position to someone," and corresponds to "an arrangement to meet someone at a particular time and place"