OK, it is correct to say that Hitler became the chancellor through a legal way, because his rise to power was allowed by the Weimar constitution. But his victory was possible because the Weimar constitution had loopholes.
It was not a classic coup like the one which happened in Chile in 1973.
On the other hand, it would be a misleading view to say that Hitler won a free and fair electoral process, like the modern ones, in which all the parties are free and safe to make the campaigns, the leaders of the parties are free to choose the coalitions. It was not like Merkel's victories, in free and fair elections, in which all the parties try to convince the voters, the plurality decides for the CDU and the parties learder are free to build the coalitions.
Germany was already not living in a normal democracy in 1932, when Hindnburg and Von Papen had special powers. The SA was already on the streets using fear as a strategy. The police force of Prussia (republic's largest state) was already controlled by the far-right since July 1932.
Goehring was already in charge of Prussia correct?
No, Göring was appointed as in charge of Prussia after Hitler was appointed as chancellor.