The parenthetical makes the statement clear. 2 am local time is the transition time. Some days you go from 1:59 am standard to 3:00 am daylight, others you go

The parenthetical makes the statement clear. 2 am local time is the transition time. Some days you go from 1:59 am standard to 3:00 am daylight, others you go from 1:59 am daylight to 1:00 am standard. It's not like leap seconds which are added (or hypothetically removed) at a specific universal time, so whatever your time zone, whatever minute corresponds with utc 23:59 gets an extra second.