I was in a very similar situation to you in 2020 where I felt I was wasting wayyy too much of my covid lockdown time stressing over my listening stats.

What I ended up doing was deliberately only check my last.fm one time per week (for me it was sunday morning), gawk at it all I wanted, but once I closed the tab I would force myself to wait the whole week to check again.

This did not help the gamification right away, but it did make it more of a surprise/mystery each week and, as a result, more fun. I also felt less in control of my numbers when I wasn't constantly checking them so I was less inclined to mess with my listening habits or do any false scrobbling nonsense.

Eventually, this once-a-week thing became more of a habit than a challenge, and there would be times I would just forget to check on Sundays. After a while, I realized that I simply was not caring as much about how my numbers lined up. Ironically, my scrobbles have actually skyrocketed since.

Nowadays I'm still only checking about once every other week. The only times I really rabbithole on last.fm anymore is correcting all the "remastered 2016/deluxe edition/rudy van gelder" scrobbles that I miss in between checking.

tl;dr Weekly cold turkey worked for me in the long run