No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3o3β5x

both( . . . . ) | 7200 |    2    1    2    2 |    1    2    1    2    2    2    2 |    1   1   2   1    2
----------------+------+---------------------+------------------------------------+----------------------
both( x . . . ) |    2 | 7200    *    *    * |    1    1    0    0    1    1    0 |    1   1   1   0    1
both( . . . x ) |    2 |    * 3600    *    * |    0    2    0    2    0    0    0 |    1   0   2   1    0
sefa( . o3β . ) |    2 |    *    * 7200    * |    0    0    1    0    1    0    1 |    0   1   0   1    1
sefa( . . β5x ) |    2 |    *    *    * 7200 |    0    0    0    1    0    1    1 |    0   0   1   1    1
----------------+------+---------------------+------------------------------------+----------------------
both( x3o . . ) |    3 |    3    0    0    0 | 2400    *    *    *    *    *    * |    1   1   0   0    0
both( x . . x ) |    4 |    2    2    0    0 |    * 3600    *    *    *    *    * |    1   0   1   0    0
      . o3β .   ♦    3 |    0    0    3    0 |    *    * 2400    *    *    *    * |    0   1   0   1    0
      . . β5x   ♦   10 |    0    5    0    5 |    *    *    * 1440    *    *    * |    0   0   1   1    0
sefa( x3o3β . ) |    6 |    3    0    3    0 |    *    *    *    * 2400    *    * |    0   1   0   0    1
sefa( x 2 β5x ) |    4 |    2    0    0    2 |    *    *    *    *    * 3600    * |    0   0   1   0    1
sefa( . o3β5x ) |    4 |    0    0    2    2 |    *    *    *    *    *    * 3600 |    0   0   0   1    1
----------------+------+---------------------+------------------------------------+----------------------
both( x3o . x ) ♦    6 |    6    3    0    0 |    2    3    0    0    0    0    0 | 1200   *   *   *    *
      x3o3β .   ♦   12 |   12    0   12    0 |    4    0    4    0    4    0    0 |    * 600   *   *    *
      x 2 β5x   ♦   20 |   10   10    0   10 |    0    5    0    2    0    5    0 |    *   * 720   *    *
      . o3β5x   ♦   60 |    0   30   60   60 |    0    0   20   12    0    0   30 |    *   *   * 120    *
sefa( x3o3β5x ) ♦   12 |    6    0    6    6 |    0    0    0    0    2    3    3 |    *   *   *   * 1200

starting figure: x3o3x5x