Learn Turkish: Binaya sızmasına rağmen hiçbir belge bulmadı. - Despite infiltrating the building, he found no documents.

This is the standard way to say 'despite doing an action' in Turkish. You take the short verbal noun sızma (infiltrating), add a possessive suffix to show who is doing it (here, -sı for 'his/her'), and finally add the dative case -a (with the buffer -n-) to make sızmasına. This is because the word rağmen (despite) always requires the preceding word to take the dative case.

Why is it Binaya (with the dative ending -ya) instead of the accusative Binayı?

In English you 'infiltrate' a direct object, but the Turkish verb sızmak literally means 'to leak' or 'to seep'. Therefore, it requires the dative case to show the direction of the movement: leaking into the building.

'Documents' is plural in the English translation. Why isn't it belgeler in Turkish?

The word hiçbir means 'not any' or 'no'. In Turkish, nouns following hiçbir always remain in the singular form, even if we translate them as plural in English. So we must say hiçbir belge instead of hiçbir belgeler.

Are the -ma in sızmasına and the -ma in bulmadı the same suffix?