I think 13/7 is actually a blunder for any 6x roll (except 66), but anyway, obviously nobody is playing 13/7 here. I played 24/18 and somehow convinced myself that keeping an eye on White's outfield checkers was important, and played 7/3 for the 4. If White had a blot on her 9pt then lifting is more plausible (see variant below) though still probably wrong.
And yes, this position did arise OTB, though against a bot rather than a live person.

              
 
              
 | | White is Player 2
score: 0 pip: 110 | Money session Jacoby | pip: 158 score: 0
Blue is Player 1 | |
| XGID=--bBBBCA-----A--b--cbbbbD-:1:1:1:64:0:0:1:0:10 |
| Blue to play 64 |
| 1. | Rollout1 | 24/14 | eq: -0.411 |
| Player: Opponent: | 37.39% (G:7.96% B:0.29%) 62.61% (G:33.81% B:6.55%) | Conf: ± 0.016 (-0.427...-0.395) Duration: 2 hours 10 minutes |
|
| 2. | Rollout1 | 24/18 7/3 | eq: -0.524 (-0.113) |
| Player: Opponent: | 32.97% (G:7.00% B:0.28%) 67.03% (G:34.60% B:5.40%) | Conf: ± 0.017 (-0.541...-0.507) Duration: 1 hour 55 minutes |
|
| |
1 1296 Games rolled with Variance Reduction. Dice Seed: 2 Moves and cube decisions: 3 ply
|
eXtreme Gammon Version: 1.21
Variant:

              
 
              
 | | White is Player 2
score: 0 pip: 106 | Money session Jacoby | pip: 158 score: 0
Blue is Player 1 | |
| XGID=--bBBBCA-----A--a--ccbbbD-:1:1:1:63:0:0:1:0:10 |
| Blue to play 63 |
| 1. | XG Roller+ | 24/15 | eq: -0.356 |
| Player: Opponent: | 40.01% (G:8.84% B:0.35%) 59.99% (G:32.17% B:6.57%) | |
|
| 2. | XG Roller+ | 24/18 7/4 | eq: -0.390 (-0.034) |
| Player: Opponent: | 37.85% (G:8.84% B:0.36%) 62.15% (G:31.91% B:5.04%) | |
|
eXtreme Gammon Version: 1.21