No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3o3o5β

both( . . . .    ) | 2400 |    6    6    6 |    3    3    3    9    9    3 |   1    3   3   1    6
-------------------+------+----------------+-------------------------------+----------------------
both( s . . s2*a ) |    2 | 7200    *    * |    0    0    0    2    2    0 |   0    1   1   0    2
sefa( β3o . .    ) |    2 |    * 7200    * |    1    0    1    1    0    0 |   1    1   0   0    1
sefa( . . o5β    ) |    2 |    *    * 7200 |    0    1    0    0    1    1 |   0    0   1   1    1
-------------------+------+----------------+-------------------------------+----------------------
      β3o . .      ♦    3 |    0    3    0 | 2400    *    *    *    *    * |   1    1   0   0    0
      . . o5β      ♦    5 |    0    0    5 |    * 1440    *    *    *    * |   0    0   1   1    0
sefa( β3o3o .    ) |    3 |    0    3    0 |    *    * 2400    *    *    * |   1    0   0   0    1
sefa( β3o . β2*a ) |    3 |    2    1    0 |    *    *    * 7200    *    * |   0    1   0   0    1
sefa( β . o5β2*a ) |    3 |    2    0    1 |    *    *    *    * 7200    * |   0    0   1   0    1
sefa( . o3o5β    ) |    3 |    0    0    3 |    *    *    *    *    * 2400 |   0    0   0   1    1
-------------------+------+----------------+-------------------------------+----------------------
      β3o3o .      ♦    4 |    0   12    0 |    4    0    4    0    0    0 | 600    *   *   *    *
      β3o . β2*a   ♦    6 |    6    6    0 |    2    0    0    6    0    0 |   * 1200   *   *    *
      β . o5β2*a   ♦   10 |   10    0   10 |    0    2    0    0   10    0 |   *    * 720   *    *
      . o3o5β      ♦   20 |    0    0   60 |    0   12    0    0    0   20 |   *    *   * 120    *
sefa( β3o3o5β    ) ♦    6 |    6    3    3 |    0    0    1    3    3    1 |   *    *   *   * 2400

starting figure: x3o3o5x