No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3β3o5β

both( . . . . ) | 7200 |    2    2     4    2    2 |    2    1    1    3     6    3    4 |   1    2   1   1    5
----------------+------+---------------------------+-------------------------------------+----------------------
both( s .2. s ) |    2 | 7200    *     *    *    * |    0    0    0    0     2    2    0 |   0    1   1   0    2
both( . s 2 s ) |    2 |    * 7200     *    *    * |    0    0    0    0     2    0    2 |   0    1   0   1    2
sefa( s3s . . ) |    2 |    *    * 14400    *    * |    1    0    0    1     1    0    0 |   1    1   0   0    1
sefa( . β3o . ) |    2 |    *    *     * 7200    * |    0    1    0    1     0    0    1 |   1    0   0   1    1
sefa( . . o5β ) |    2 |    *    *     *    * 7200 |    0    0    1    0     0    1    1 |   0    0   1   1    1
----------------+------+---------------------------+-------------------------------------+----------------------
both( s3s . . ) ♦    3 |    0    0     3    0    0 | 4800    *    *    *     *    *    * |   1    1   0   0    0
      . β3o .   ♦    3 |    0    0     0    3    0 |    * 2400    *    *     *    *    * |   1    0   0   1    0
      . . o5β   ♦    5 |    0    0     0    0    5 |    *    * 1440    *     *    *    * |   0    0   1   1    0
sefa( β3β3o . ) |    3 |    0    0     2    1    0 |    *    *    * 7200     *    *    * |   1    0   0   0    1
sefa( s3s 2 s ) |    3 |    1    1     1    0    0 |    *    *    *    * 14400    *    * |   0    1   0   0    1
sefa( β 2 o5β ) |    3 |    2    0     0    0    1 |    *    *    *    *     * 7200    * |   0    0   1   0    1
sefa( . β3o5β ) |    4 |    0    2     0    1    1 |    *    *    *    *     *    * 7200 |   0    0   0   1    1
----------------+------+---------------------------+-------------------------------------+----------------------
      β3β3o .   ♦   12 |    0    0    24   12    0 |    8    4    0   12     0    0    0 | 600    *   *   *    *
both( s3s 2 s ) ♦    6 |    3    3     6    0    0 |    2    0    0    0     6    0    0 |   * 2400   *   *    *
      β 2 o5β   ♦   10 |   10    0     0    0   10 |    0    0    2    0     0   10    0 |   *    * 720   *    *
      . β3o5β   ♦   60 |    0   60     0   60   60 |    0   20   12    0     0    0   60 |   *    *   * 120    *
sefa( β3β3o5β ) ♦    5 |    2    2     2    1    1 |    0    0    0    1     2    1    1 |   *    *   *   * 7200

starting figure: x3x3o5x