How to send a request if the element does not have a name tag?

Question

Python

Greetings.
I'm trying to solve the following problem: I need to get a list of dealerships from the site https://services.audi.ru/dealer-search/
The site has a field where you can specify the name of the city and there is a switch to the list view.
The problem is that the search field does not have a name tag and it is not possible to pass a value to it.

<input type="text" id="search" class="filter-item__input" placeholder="Поиск по городу или дилеру">

And how to approach the switch there are no ideas at all.
Please tell me with a solution or at least a direction where to look. I've been learning Python for a while now. For the solution, I used the requests library for sending requests and beautysoup for parsing.
Thanks in advance.

Answer 1

Nothing is sent there, the search is done by javascript according to the loaded full list.
The list itself is here (XML)

Answer 2

See what the browser sends and receives. It is worth paying attention to xhr requests:
https://services.audi.ru/api/dealer/list.php