That blitz came in the jagged shape of a 64th minute penalty kick and goals to De Vries in the 71st minute and Dan Morgan in the 75th.
Angell said his players had learned a lesson from a team who traditionally set the benchmark in the premiership.
"At this level, from No 1 to No 11 showed up and were far more physically stronger around everywhere so eventually we were by far the second best."
He said Bay United didn't do enough long enough in and out of possession and found Auckland City terrorising them on the top end of the field.
A loss to Auckland City "wasn't unexpected" for the Bill Robertson-captained side, who have lost two on the trot now after succumbing 2-1 to Southern United in Dunedin in the previous round.
Angell ruled out any mental scarring one-third into the campaign but said it had to be put in perspective after four games on the road out of six.
Bay United host Waitakere United in a 2pm kick off at Park Island, Napier, this Sunday.
"We'll just have to make Bluewater Stadium our fortress," Angell said, with Tasman United there the following Sunday.