You would not play golf in a football boot, so once you have committed to dance lessons do not think that a street shoe Is going to be kind to your feet.
So you finally organise the dance lessons and it’s time to purchase your shoes, but - you haven’t decided which style you want to continue learning.
Traditionally, an open shoe works best for Latin, closed for Modern/Ballroom.
Here’s a hint: buy a shoe with a peep toe to which is comfortable for all styles until you decide which one is your favourite.