Making the 2pt seems to be a stronger candidate than I thought it would be.

              
 
              
 | | White is Player 2
score: 0 pip: 129 | Money session Jacoby Beaver | pip: 128 score: 0
Blue is Player 1 | |
| XGID=---a-CD-C---dE---d-c--a-b-:1:-1:1:36:0:0:3:0:10 |
| Blue to play 36 |
| 1. | XG Roller+ | 13/7 6/3* | eq: +0.267 |
| Player: Opponent: | 64.76% (G:17.24% B:0.36%) 35.24% (G:7.54% B:0.16%) | |
|
| 2. | XG Roller+ | 8/2 5/2 | eq: +0.250 (-0.016) |
| Player: Opponent: | 64.99% (G:10.28% B:0.12%) 35.01% (G:2.79% B:0.05%) | |
|
| 3. | XG Roller+ | 13/10 8/2 | eq: +0.232 (-0.034) |
| Player: Opponent: | 64.39% (G:9.82% B:0.14%) 35.61% (G:3.06% B:0.06%) | |
|
| 4. | XG Roller+ | 13/10 13/7 | eq: +0.197 (-0.069) |
| Player: Opponent: | 62.72% (G:12.87% B:0.33%) 37.28% (G:5.59% B:0.12%) | |
|
eXtreme Gammon Version: 1.21

              
 
              
 | | White is Player 2
score: 0 pip: 155 | Money session Jacoby Beaver | pip: 146 score: 0
Blue is Player 1 | |
| XGID=--aB-BCaB---dD---d-eA---A-:0:0:1:00:0:0:3:0:10 |
| Blue on roll, cube action? |
| Analyzed in XG Roller+ |
| Player Winning Chances: | 66.85% (G: 26.43% B: 0.96%) |
| Opponent Winning Chances: | 33.15% (G: 6.04% B: 0.23%) |
| |
| Cubeless Equities |
| No Double: | +0.337 |
| Double: | +1.127 |
| |
| Cubeful Equities |
| No Double: | +0.737 (-0.161) |
| Double/Take: | +0.899 |
| Double/Drop: | +1.000 (+0.101) |
| |
| Best Cube action: Double / Take |
| |
eXtreme Gammon Version: 1.21

              
 
              
 | | White is Player 2
score: 0 pip: 144 | Money session Jacoby Beaver | pip: 131 score: 0
Blue is Player 1 | |
| XGID=--aaB-DCB---cB---cBe--b---:1:-1:1:45:0:0:3:0:10 |
| Blue to play 45 |
| 1. | XG Roller+ | 8/3* 7/3 | eq: +0.505 |
| Player: Opponent: | 69.75% (G:27.14% B:0.78%) 30.25% (G:6.14% B:0.26%) | |
|
| 2. | XG Roller+ | 7/2* 6/2 | eq: +0.459 (-0.047) |
| Player: Opponent: | 68.93% (G:24.25% B:0.60%) 31.07% (G:5.91% B:0.25%) | |
|
| 3. | XG Roller+ | 18/14 18/13 | eq: +0.417 (-0.089) |
| Player: Opponent: | 71.56% (G:13.22% B:0.44%) 28.44% (G:4.79% B:0.13%) | |
|
eXtreme Gammon Version: 1.21
Even if we strengthen White's board as shown below, XGR+ still slightly prefers the 3pt.

              
 
              
 | | White is Player 2
score: 0 pip: 140 | Money session Jacoby Beaver | pip: 131 score: 0
Blue is Player 1 | |
| XGID=--aaB-DCB---cB---bBdb-b---:1:-1:1:45:0:0:3:0:10 |
| Blue to play 45 |
| 1. | XG Roller+ | 8/3* 7/3 | eq: +0.297 |
| Player: Opponent: | 63.89% (G:23.40% B:0.65%) 36.11% (G:9.02% B:0.37%) | |
|
| 2. | XG Roller+ | 7/2* 6/2 | eq: +0.291 (-0.006) |
| Player: Opponent: | 64.07% (G:21.10% B:0.55%) 35.93% (G:7.85% B:0.35%) | |
|
eXtreme Gammon Version: 1.21