No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

o3β3x3o

both( . . . . ) | 30 |  2  2  4 |  1  1  4  4  2 | 2 2  2
----------------+----+----------+----------------+-------
both( . . x . ) |  2 | 30  *  * |  1  0  2  0  0 | 1 2  0
sefa( o3β . . ) |  2 |  * 30  * |  0  1  0  2  0 | 2 0  1
sefa( . β3x . ) |  2 |  *  * 60 |  0  0  1  1  1 | 1 1  1
----------------+----+----------+----------------+-------
both( . . x3o ) |  3 |  3  0  0 | 10  *  *  *  * | 0 2  0
      o3β . .   ♦  3 |  0  3  0 |  * 10  *  *  * | 2 0  0
      . β3x .   ♦  6 |  3  0  3 |  *  * 20  *  * | 1 1  0
sefa( o3β3x . ) |  4 |  0  2  2 |  *  *  * 30  * | 1 0  1
sefa( . β3x3o ) |  3 |  0  0  3 |  *  *  *  * 20 | 0 1  1
----------------+----+----------+----------------+-------
      o3β3x .   ♦ 12 |  6 12 12 |  0  4  4  6  0 | 5 *  *
      . β3x3o   ♦ 12 | 12  0 12 |  4  0  4  0  4 | * 5  *
sefa( o3β3x3o ) ♦  6 |  0  3  6 |  0  0  0  3  2 | * * 10

starting figure: o3x3x3o