Just a quick grammar check.

I would phrase it something more like "my daily English lesson streak".

To "lose track" of something tends to mean to lose a physical item ("I lost track of my shoes") or to forget all about something or to get distracted ("I lost track of time"). In this case, I would say "I lost my streak" or "I ruined my streak" because saying you lost *track of* your streak sounds like you misplaced it.  Also, in English, we don't tend to use the definite article "the" as much as some other languages. Using it here in "the English lesson" sounds unnatural.  I would say something like: "I lost my English lesson streak on DuoLingo" (or whatever platform you use that records your streaks).

Sounds a little off to me. I would say something like "I lost track of my streak of daily English lessons" or just omit the 'streak' altogether: "I lost track of completing my daily English lessons."

"The English lesson" refers to one specific lesson. You can't have a streak of one. Maybe, "I've lost track of my daily streak of English lessons".