I think it would be cool to have actual tally marks in the logo somehow. I tend to like simple, clean logos that are clever and intuitive (for example: hidden symbolism -- https://www.boredpanda.com/clever-logos-with-hidden-symbolism).

I am not set on any specific color scheme. Please make suggestions. I would like a color scheme that works well with dark and light mode.

The logo needs to be able to neatly fit on an app icon, but also look good by itself and with the app name above, below, or beside it.

I attached a screenshot of the scoring screen just for context.

Tallyr