You know that 建築 is architecture. So, someone of house architecture is someone who does architecture. They are an architect.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well. It will also help if you know how to read 建築 already.
Dad is very proud of you because you became an architect.
The doctor incorrectly diagnosed the architect with stomach cancer.
My house was designed by a famous architect.