No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3β3o3β

both( . . . . ) | 60 |  1  2  2  2  2 |  2  1  1  2  4  2  4 | 1  2  1 1  3
----------------+----+----------------+----------------------+-------------
both( x . . . ) |  2 | 30  *  *  *  * |  2  0  0  0  2  2  0 | 1  2  1 0  2
both( . s 2 s ) |  2 |  * 60  *  *  * |  0  0  0  0  2  0  2 | 0  1  0 1  2
sefa( x3β . . ) |  2 |  *  * 60  *  * |  1  0  0  1  1  0  0 | 1  1  0 0  1
sefa( . β3o . ) |  2 |  *  *  * 60  * |  0  1  0  1  0  0  1 | 1  0  0 1  1
sefa( . . o3β ) |  2 |  *  *  *  * 60 |  0  0  1  0  0  1  1 | 0  0  1 1  1
----------------+----+----------------+----------------------+-------------
      x3β . .   ♦  6 |  3  0  3  0  0 | 20  *  *  *  *  *  * | 1  1  0 0  0
      . β3o .   ♦  3 |  0  0  0  3  0 |  * 20  *  *  *  *  * | 1  0  0 1  0
      . . o3β   ♦  3 |  0  0  0  0  3 |  *  * 20  *  *  *  * | 0  0  1 1  0
sefa( x3β3o . ) |  4 |  0  0  2  2  0 |  *  *  * 30  *  *  * | 1  0  0 0  1
sefa( x3β 2 β ) |  4 |  1  2  1  0  0 |  *  *  *  * 60  *  * | 0  1  0 0  1
sefa( x 2 o3β ) |  4 |  2  0  0  0  2 |  *  *  *  *  * 30  * | 0  0  1 0  1
sefa( . β3o3β ) |  4 |  0  2  0  1  1 |  *  *  *  *  *  * 60 | 0  0  0 1  1
----------------+----+----------------+----------------------+-------------
      x3β3o .   ♦ 12 |  6  0 12 12  0 |  4  4  0  6  0  0  0 | 5  *  * *  *
      x3β 2 β   ♦ 12 |  6  6  6  0  0 |  2  0  0  0  6  0  0 | * 10  * *  *
      x 2 o3β   ♦  6 |  3  0  0  0  6 |  0  0  2  0  0  3  0 | *  * 10 *  *
      . β3o3β   ♦ 12 |  0 12  0 12 12 |  0  4  4  0  0  0 12 | *  *  * 5  *
sefa( x3β3o3β ) ♦  8 |  2  4  2  2  2 |  0  0  0  1  2  1  2 | *  *  * * 30

starting figure: x3x3o3x