Longest listening streak (gaps and islands)

The app is adding a Streak badge, like language-learning apps do. A streak is a run of consecutive calendar days on which the user played at least one track (use the date part of played_at; several plays on one day count once). A missing day breaks the streak.

Task: for each user whose longest streak is 5 days or more, return user_id, name, the length of the longest streak as longest_streak, and the first day of that streak as streak_start (if a user has two streaks of the same longest length, use the earlier one). Sort by longest_streak descending, then user_id.