was there a new building constructed?
Yes, between 1873 and 1876
Oregon State Capitol
his second capitol, built between 1873 and 1876, was a two-story structure with an additional first level that was partly underground; the total cost was $325,000 ($  as of 2020). 
can you please name a few buildings in the oregon state capitol? UNANSWERABLE is this place a building? Yes, it is - houses the state legislature and other government offices. when was the first building built? 1936 to 1938 was there a fire? Yes, on April 25, 1935 do you know how did it happen? It was determined the fire started in the basement of the east wing and quickly spread to piles of old records.
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Oregon State Capitol [SEP] Second capitol
Originally, plans called for towers on both sides of the dome (a tower on both ends of the building with the dome in the middle), but they were left out to save money. Oregon's second capitol building stood from 1876 to 1935.