[Mostly Yuuya Kanai's Ron Kamonohashi: Forbidden Deductions] Third-Rate Detective and First-Rate Police Officer

The main anime is Ron Kamonohashi's Forbidden Deductions, with Ikkaku Todomaru as the pairing.

The story alternates between second-person and third-person narration.

You transmigrated after complaining about the M family being so obsessed with the original Moriarty.

The System tries to tempt you into binding yourself to it with merch of your favorite character, but the tasks you earn points from are all about deduction.

You're doomed. You have no idea how to solve mysteries or crimes!

Since you might as well die trying, you decide:

“Watson! You're my real dad! Dad, help me out! Starting today, I'm your sixth-generation descendant!!”

The gacha pool is an extremely complicated mix of various Sherlock-Holmes-and-Watson and Moriarty pairings. The heroine has no supernatural abilities, but she approaches things through the lens of Lovecraftian science.

I really wanted to see the M family, the descendants of Moriarty and his clan, meet the real Moriarty, so I dug a pit without mercy.

There are Sherlock-and-Watson and Ron-and-Todomaru elements, and I really love the love triangle. The heroine is sunny, outgoing, and a hopeless romantic, a beautiful anime girl with white hair and golden eyes.

Theme: The M family has done so much evil that sooner or later, justice will catch up with them.