Struggling to breathe fresh air in new flat, help

Hello all, i recently moved into a small flat with my partner and we just found out that we can only open one window, So i am looking for some advice on how to increase the air-flow in our small (rented) flat.

We are currently struggling a bit for air flow right now, especially if we have cooked food! We do have an extraction fan, which works pretty well, but I have always been the type of person that is very conscious of the way that i and my house smells. Also, as most places in the UK right now, it is hot and humid in this flat! And the absolute lack of air-flow does not help!!!!!

For some more context, there are actually some 7 foot tall patio DOORS in the bedroom, although we have NO access to opening these (believe me, we have tried pestering the property managers for the key!!)) and the only window that can be opened is in the living room/kitchen. The window is fairly large, about 3 foot tall and 4 foot wide, but only opens about two inches and it is located in the living room area (so quite far from the bedroom, kitchen and bathroom). There are no other windows or vents at all (of course beside from the patio doors in the bedroom that CANNOT be opened).

If anyone has any advice on how to increase air-flow in this situation that would be great! Id be happy to give any more info