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The reason to increase the spam score of a website is when you get links from spammed website's mean the websites that have high spam score. With the authority spam score will transfer to your website.
You can decrease the spam score to disavow that spammy links.
Hello,
DA is the measuring factor by MOZ. You can increase your website's DA to get link from high authority websites. When you get links from high authority website your website DA will increase very quickly.