Hi Liana,
As far as spammy links, Google has done well detecting whether or not they are intentional, aka black hat. If they aren't, Google does not penalize you for these links, so it's best to leave them.
As far as a strategy for generating links to your website, you should always focus on high quality over quantity. High quality links give you exponentially more return than high quantity of bad links.
I recommend this article Google wrote for us to understand when and how to disavow links.
https://support.google.com/webmasters/answer/2648487?hl=en
In short, rarely do you ever need to disavow links, even if they have a high spam score. You are only hurt when they sense you are gaming the system and in the case that they detect or suspect unethical backlinking, you will be penalized with a "manual action". You can check if you were penalized, as well as disavow flagged backlinks, in the Google Search Console.