Visa appointment script

I need to set a new date for a visa appointment and the only way to do so is to "camp" the website by constantly reloading the page and then clicking to see if any of the dates on the calendar has become a button and therefore is available.

Getting a new appointment seems to be a mix of luck and spending a lot of hours doing that, so it would be nice to have some type of "help" that could take the hours part out of the equation.

I have started writing my own python+selenium+chrome web driver project, but I am not good at coding so I haven't made much progress.