Semrush Disavow question

i just used Semrush to run Backlinks Audit. Then removed the TS 60~100 domains (almost 3000 of them! ) to Disavow tab and then export the list. Uploaded to Google to disavow already.

If I run Backlinks audit again (I dare not try yet), will these TS60~100 bad domains appear again in the Audit tab?
If so, how do you sieve away those that had been moved to Disavow before?
How do you guys manage this?

Yes, disavowed domains may reappear in SEMrush's audit. To exclude them, regularly update and re-upload your disavow file. Track manually or use filters to identify new harmful links.

Yes, it will show up on all third-party tools. You can download the list of referring domains from Google Search Console (GSC) to see which ones are pointing to your website. If any are still active and potentially harmful, make sure to resubmit those domains to the Disavow Tool.