No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

o3β3β5β

both( . . . . ) | 7200 |    2    2     4    2 |    1    2    1    3    3     6 |   1    1   2    4
----------------+------+----------------------+--------------------------------+------------------
both( . s 2 s ) |    2 | 7200    *     *    * |    0    0    0    0    2     2 |   0    1   1    2
sefa( o3β . . ) |    2 |    * 7200     *    * |    1    0    0    1    1     0 |   1    1   0    1
sefa( . s3s . ) |    2 |    *    * 14400    * |    0    1    0    1    0     1 |   1    0   1    1
sefa( . . s5s ) |    2 |    *    *     * 7200 |    0    0    1    0    0     2 |   0    0   2    1
----------------+------+----------------------+--------------------------------+------------------
      o3β . .   ♦    3 |    0    3     0    0 | 2400    *    *    *    *     * |   1    1   0    0
both( . s3s . ) ♦    3 |    0    0     3    0 |    * 4800    *    *    *     * |   1    0   1    0
both( . . s5s ) ♦    5 |    0    0     0    5 |    *    * 1440    *    *     * |   0    0   2    0
sefa( o3β3β . ) |    3 |    0    1     2    0 |    *    *    * 7200    *     * |   1    0   0    1
sefa( o3β 2 β ) |    3 |    2    1     0    0 |    *    *    *    * 7200     * |   0    1   0    1
sefa( . s3s5s ) |    3 |    1    0     1    1 |    *    *    *    *    * 14400 |   0    0   1    1
----------------+------+----------------------+--------------------------------+------------------
      o3β3β .   ♦   12 |    0   12    24    0 |    4    8    0   12    0     0 | 600    *   *    *
      o3β 2 β   ♦    6 |    6    6     0    0 |    2    0    0    0    6     0 |   * 1200   *    *
both( . s3s5s ) ♦   60 |   30    0    60   60 |    0   20   12    0    0    60 |   *    * 240    *
sefa( o3β3β5β ) ♦    4 |    2    1     2    1 |    0    0    0    1    1     2 |   *    *   * 7200

starting figure: o3x3x5x