No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3β3o5β

both( . . . . ) | 7200 |    1    2    2    2    2 |    2    1    1    2    4    2    4 |   1    2   1   1    4
----------------+------+--------------------------+------------------------------------+----------------------
both( x . . . ) |    2 | 3600    *    *    *    * |    2    0    0    0    2    2    0 |   1    2   1   0    2
both( . s 2 s ) |    2 |    * 7200    *    *    * |    0    0    0    0    2    0    2 |   0    1   0   1    2
sefa( x3β . . ) |    2 |    *    * 7200    *    * |    1    0    0    1    1    0    0 |   1    1   0   0    1
sefa( . β3o . ) |    2 |    *    *    * 7200    * |    0    1    0    1    0    0    1 |   1    0   0   1    1
sefa( . . o5β ) |    2 |    *    *    *    * 7200 |    0    0    1    0    0    1    1 |   0    0   1   1    1
----------------+------+--------------------------+------------------------------------+----------------------
      x3β . .   ♦    6 |    3    0    3    0    0 | 2400    *    *    *    *    *    * |   1    1   0   0    0
      . β3o .   ♦    3 |    0    0    0    3    0 |    * 2400    *    *    *    *    * |   1    0   0   1    0
      . . o5β   ♦    5 |    0    0    0    0    5 |    *    * 1440    *    *    *    * |   0    0   1   1    0
sefa( x3β3o . ) |    4 |    0    0    2    2    0 |    *    *    * 3600    *    *    * |   1    0   0   0    1
sefa( x3β 2 β ) |    4 |    1    2    1    0    0 |    *    *    *    * 7200    *    * |   0    1   0   0    1
sefa( x 2 o5β ) |    4 |    2    0    0    0    2 |    *    *    *    *    * 3600    * |   0    0   1   0    1
sefa( . β3o5β ) |    4 |    0    2    0    1    1 |    *    *    *    *    *    * 7200 |   0    0   0   1    1
----------------+------+--------------------------+------------------------------------+----------------------
      x3β3o .   ♦   12 |    6    0   12   12    0 |    4    4    0    6    0    0    0 | 600    *   *   *    *
      x3β 2 β   ♦   12 |    6    6    6    0    0 |    2    0    0    0    6    0    0 |   * 1200   *   *    *
      x 2 o5β   ♦   10 |    5    0    0    0   10 |    0    0    2    0    0    5    0 |   *    * 720   *    * 
      . β3o5β   ♦   60 |    0   60    0   60   60 |    0   20   12    0    0    0   60 |   *    *   * 120    *
sefa( x3β3o5β ) ♦    8 |    2    4    2    2    2 |    0    0    0    1    2    1    2 |   *    *   *   * 3600

starting figure: x3x3o5x