How do I get Topical Authority? Help

Hi, I just found this topical authority thing so I started writing everything that comes to my mind about my niche. i'll link in the comments the map I made with all the articles I should write to really cover the entire niche. Today I wrote the first column (20 articles + 1 pillar content linking to all the other posts in the same group). So, now I'll keep writing all the other columns, but apart from this, is there anything in particular I should do to actually get the Authority? Is there a way to know when/if it will have success? Thanks