This is the 9120th most frequent Russian word.
саудовскую
"Saudi" (related to Saudi Arabia).
The word 'саудовскую' is used in its feminine singular accusative form to modify the noun 'культуру' (culture).
Я изучаю саудовскую культуру.
I am studying Saudi culture.
Here, 'саудовскую' is the feminine singular accusative form agreeing with 'экономику' (economy), showing an adjectival relationship.
Они поддерживают саудовскую экономику.
They support the Saudi economy.
In this case, 'саудовскую' is describing 'политику' (politics), as its feminine singular accusative form because it is the object of the verb 'обсуждали' (discussed).