No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3β3β5o

both( . . . . ) | 7200 |    2    2     4    2 |    1    2    1     6    3    3 |    2   1   1    4
----------------+------+----------------------+--------------------------------+------------------
both( s 2 s . ) |    2 | 7200    *     *    * |    0    0    0     2    2    0 |    1   1   0    2
sefa( s3s . . ) |    2 |    * 7200     *    * |    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
----------------+------+----------------------+--------------------------------+------------------
both( s3s . . ) ♦    3 |    0    3     0    0 | 2400    *    *     *    *    * |    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( s3s3s . ) |    3 |    1    1     1    0 |    *    *    * 14400    *    * |    1   0   0    1
sefa( β 2 β5o ) |    3 |    2    0     0    1 |    *    *    *     * 7200    * |    0   1   0    1
sefa( . β3β5o ) |    3 |    0    0     2    1 |    *    *    *     *    * 7200 |    0   0   1    1
----------------+------+----------------------+--------------------------------+------------------
both( s3s3s . ) ♦   12 |    6   12    12    0 |    4    4    0    12    0    0 | 1200   *   *    *
      β 2 β5o   ♦   10 |   10    0     0   10 |    0    0    2     0   10    0 |    * 720   *    *
      . β3β5o   ♦   60 |    0    0   120   60 |    0   40   12     0    0   60 |    *   * 120    *
sefa( β3β3β5o ) ♦    4 |    2    1     2    1 |    0    0    0     2    1    1 |    *   *   * 7200

starting figure: x3x3x5o