No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3β3o5x

both( . . . . ) | 7200 |    1    2    2    2 |    2    1    2    1    2    2    2 |   1   1    2   1   2
----------------+------+---------------------+------------------------------------+---------------------
both( x . . . ) |    2 | 3600    *    *    * |    2    0    2    0    0    0    0 |   1   1    2   0   0
both( . . . x ) |    2 |    * 7200    *    * |    1    1    0    0    0    1    1 |   1   0    1   1   1
sefa( x3β . . ) |    2 |    *    * 7200    * |    0    0    1    0    1    1    0 |   0   1    1   0   1
sefa( . β3o . ) |    2 |    *    *    * 7200 |    0    0    0    1    1    0    1 |   0   1    0   1   1
----------------+------+---------------------+------------------------------------+---------------------
both( x . . x ) |    4 |    2    2    0    0 | 3600    *    *    *    *    *    * |   1   0    1   0   0
both( . . o5x ) |    5 |    0    5    0    0 |    * 1440    *    *    *    *    * |   1   0    0   1   0
      x3β . .   ♦    6 |    3    0    3    0 |    *    * 2400    *    *    *    * |   0   1    1   0   0
      . β3o .   ♦    3 |    0    0    0    3 |    *    *    * 2400    *    *    * |   0   1    0   1   0
sefa( x3β3o . ) |    4 |    0    0    2    2 |    *    *    *    * 3600    *    * |   0   1    0   0   1
sefa( x3β 2 x ) |    4 |    0    2    2    0 |    *    *    *    *    * 3600    * |   0   0    1   0   1
sefa( . β3o5x ) |   10 |    0    5    0    5 |    *    *    *    *    *    * 1440 |   0   0    0   1   1
----------------+------+---------------------+------------------------------------+---------------------
both( x . o5x ) ♦   10 |    5   10    0    0 |    5    2    0    0    0    0    0 | 720   *    *   *   *
      x3β3o .   ♦   12 |    6    0   12   12 |    0    0    4    4    6    0    0 |   * 600    *   *   *
      x3β 2 x   ♦   12 |    6    6    6    0 |    3    0    2    0    0    3    0 |   *   * 1200   *   *
      . β3o5x   ♦   60 |    0   60    0   60 |    0   12    0   20    0    0   12 |   *   *    * 120   *
sefa( x3β3o5x ) ♦   20 |    0   10   10   10 |    0    0    0    0    5    5    2 |   *   *    *   * 720

starting figure: x3x3o5x