slotIndex is a per-department index of non-empty intervals, not a time.
Merging all departments of a period by slotIndex and deriving the slot
time from the first inserted lesson produced shifted times (e.g. Meltsov
10:00 shown at 11:45) depending on sync order. Group by lesson start
minute instead so each department's real times are kept.
Add debug logging for teacher schedule sync/build and debounce teacher
search in picker.
Per-request GET success logs (39 long URLs per teacher sync) flood the
2MB logcat buffer together with system ZeroHung spam, drowning the real
kill reason (am_proc_died / lowmemorykiller). Log only non-2xx responses.