No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3β3β5o

both( . . . . ) | 7200 |    1    1     4    2 |    1    2    1    4    2    3 |   2   1   1    3
----------------+------+----------------------+-------------------------------+-----------------
both( x . . . ) |    2 | 3600    *     *    * |    1    0    0    2    2    0 |   2   1   0    2
sefa( x3β . . ) |    2 |    * 3600     *    * |    1    0    0    2    0    0 |   2   0   0    1
sefa( . s3s . ) |    2 |    *    * 14400    * |    0    1    0    1    0    1 |   1   0   1    1
sefa( . . β5o ) |    2 |    *    *     * 7200 |    0    0    1    0    1    1 |   0   1   1    1
----------------+------+----------------------+-------------------------------+-----------------
      x3β . .   ♦    6 |    3    3     0    0 | 1200    *    *    *    *    * |   2   0   0    0
both( . s3s . ) ♦    3 |    0    0     3    0 |    * 4800    *    *    *    * |   1   0   1    0
      . . β5o   ♦    5 |    0    0     0    5 |    *    * 1440    *    *    * |   0   1   1    0
sefa( x3β3β . ) |    4 |    1    1     2    0 |    *    *    * 7200    *    * |   1   0   0    1
sefa( x 2 β5o ) |    4 |    2    0     0    2 |    *    *    *    * 3600    * |   0   1   0    1
sefa( . β3β5o ) |    3 |    0    0     2    1 |    *    *    *    *    * 7200 |   0   0   1    1
----------------+------+----------------------+-------------------------------+-----------------
      x3β3β .   ♦   24 |   12   12    24    0 |    4    8    0   12    0    0 | 600   *   *    *
      x 2 β5o   ♦   10 |    5    0     0   10 |    0    0    2    0    5    0 |   * 720   *    *
      . β3β5o   ♦   60 |    0    0   120   60 |    0   40   12    0    0   60 |   *   * 120    *
sefa( x3β3β5o ) ♦    6 |    2    1     4    2 |    0    0    0    2    1    2 |   *   *   * 3600

starting figure: x3x3x5o