No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3x3β3o

both( . . . . ) | 60 |  1  1  2  2 |  1  2  1  2  2  2 | 2  1 1  2
----------------+----+-------------+-------------------+----------
both( x . . . ) |  2 | 30  *  *  * |  1  0  0  2  2  0 | 2  1 0  2
both( . x . . ) |  2 |  * 30  *  * |  1  2  0  0  0  0 | 2  0 1  0
sefa( . x3β . ) |  2 |  *  * 60  * |  0  1  0  1  0  1 | 1  0 1  1
sefa( . . β3o ) |  2 |  *  *  * 60 |  0  0  1  0  1  1 | 0  1 1  1
----------------+----+-------------+-------------------+----------
both( x3x . . ) |  6 |  3  3  0  0 | 10  *  *  *  *  * | 2  0 0  0
      . x3β .   ♦  6 |  0  3  3  0 |  * 20  *  *  *  * | 1  0 1  0
      . . β3o   ♦  3 |  0  0  0  3 |  *  * 20  *  *  * | 0  1 1  0
sefa( x3x3β . ) |  6 |  3  0  3  0 |  *  *  * 20  *  * | 1  0 0  1
sefa( x . β3o ) |  4 |  2  0  0  2 |  *  *  *  * 30  * | 0  1 0  1
sefa( . x3β3o ) |  4 |  0  0  2  2 |  *  *  *  *  * 30 | 0  0 1  1
----------------+----+-------------+-------------------+----------
      x3x3β .   ♦ 24 | 12 12 12  0 |  4  4  0  4  0  0 | 5  * *  *
      x . β3o   ♦  6 |  3  0  0  6 |  0  0  2  0  3  0 | * 10 *  *
      . x3β3o   ♦ 12 |  0  6 12 12 |  0  4  4  0  0  6 | *  * 5  *
sefa( x3x3β3o ) ♦ 12 |  6  0  6  6 |  0  0  0  2  3  3 | *  * * 10

starting figure: x3x3x3o