No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3x4β

both( . . . ) | 48 |  1  1  1  1 | 1  1  2
--------------+----+-------------+--------
both( s 2 s ) |  2 | 24  *  *  * | 0  0  2
both( . x . ) |  2 |  * 24  *  * | 1  1  0
sefa( β3x . ) |  2 |  *  * 24  * | 1  0  1
sefa( . x4s ) |  2 |  *  *  * 24 | 0  1  1
--------------+----+-------------+--------
      β3x .   ♦  6 |  0  3  3  0 | 8  *  *
both( . x4s ) ♦  4 |  0  2  0  2 | * 12  *
sefa( β3x4β ) |  4 |  2  0  1  1 | *  * 24

starting figure: x3x4x