Well, look what crawled out of jail.
Liar.
There were lots of questions from the audience and the food was not free.
As for counting each and every ball your comment makes me, along with the others, wonder about your familiarity with 14.1. But you are right in a sense: on several shots, which might have been three or four, more than one ball was pocketed, so the run had fewer than 627 shots.
Here are the 45 break balls during the run and the position relative to the rack.
Rack -- Break Ball -- BB Position -- Break Shot Time
1 1 L 0:00:00
2 4 R 0:03:25
3 13 R 0:06:10
4 5 L 0:09:13
5 13 L 0:13:10
6 14 L 0:17:18
7 2 L 0:20:50
8 1 L 0:24:43
9 5 R 0:28:01
10 10 R 0:31:26
11 9 R 0:36:04
12 14 R 0:40:45
13 12 R 0:44:07
14 2 R 0:47:57
15 6 L 0:52:50
16 2 R 0:56:24
17 3 L 0:59:46
18 8 R 1:03:43
19 6 L 1:08:01
20 2 L 1:14:04
21 4 B 1:20:21
22 1 SL 1:26:46
23 8 L 1:36:50
24 7 L 1:40:50
25 1 R 1:46:58
26 6 R 1:51:49
27 11 R 1:58:45
28 9 L 2:04:05
29 5 R 2:08:39
30 3 B 2:16:09
31 1 SL 2:21:15
32 6 B 2:29:03
33 5 L 2:34:46
34 7 R 2:39:53
35 4 R 2:48:48
36 5 R 2:55:49
37 1 L 3:03:29
38 13 R 3:10:05
39 9 R 3:22:55
40 12 L 3:26:55
41 9 L 3:32:22
42 6 B 3:38:39
43 7 L 3:43:26
44 5 L 3:48:49
45 9 R 3:59:58
L and R were side of the rack breaks, B was below the rack, and S was into a side pocket both of which were with ball in hand in the kitchen.
I would be flabbergasted if there were no transcription error in the above data from my hand-written notes.