No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

o3β3x5β

both( . . . . ) | 7200 |    1    2    2    2    1 |    1    2   1    2    3    4 |   1    1   2    3
----------------+------+--------------------------+------------------------------+------------------
both( . . x . ) |    2 | 3600    *    *    *    * |    0    2   1    0    0    0 |   1    0   2    0
both( . s 2 s ) |    2 |    * 7200    *    *    * |    0    0   0    0    2    2 |   0    1   1    2
sefa( o3β . . ) |    2 |    *    * 7200    *    * |    1    0   0    1    1    0 |   1    1   0    1
sefa( . β3x . ) |    2 |    *    *    * 7200    * |    0    1   0    1    0    1 |   1    0   1    1
sefa( . . x5β ) |    2 |    *    *    *    * 3600 |    0    0   1    0    0    2 |   0    0   2    1
----------------+------+--------------------------+------------------------------+------------------
      o3β . .   ♦    3 |    0    0    3    0    0 | 2400    *   *    *    *    * |   1    1   0    0
      . β3x .   ♦    6 |    3    0    0    3    0 |    * 2400   *    *    *    * |   1    0   1    0
      . . x5β   ♦   10 |    5    0    0    0    5 |    *    * 720    *    *    * |   0    0   2    0
sefa( o3β3x . ) |    4 |    0    0    2    2    0 |    *    *   * 3600    *    * |   1    0   0    1
sefa( o3β 2 β ) |    3 |    0    2    1    0    0 |    *    *   *    * 7200    * |   0    1   0    1
sefa( . β3x5β ) |    4 |    0    2    0    1    1 |    *    *   *    *    * 7200 |   0    0   1    1
----------------+------+--------------------------+------------------------------+------------------
      o3β3x .   ♦   12 |    6    0   12   12    0 |    4    4   0    6    0    0 | 600    *   *    *
      o3β 2 β   ♦    6 |    0    6    6    0    0 |    2    0   0    0    6    0 |   * 1200   *    *
      . β3x5β   ♦  120 |   60   60    0   60   60 |    0   20  12    0    0   60 |   *    * 120    *
sefa( o3β3x5β ) ♦    6 |    0    4    2    2    1 |    0    0   0    1    2    2 |   *    *   * 3600

starting figure: o3x3x5x