No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3x3β5β


both( . . . . ) | 14400 |    1    1    1    1    1     2 |    1    1    1    2    2     3    2 |   1    1    1   1    3
----------------+-------+--------------------------------+-------------------------------------+-----------------------
both( . x . . ) |     2 | 7200    *    *    *    *     * |    1    1    0    0    1     0    1 |   1    1    0   1    1
both( s 2 s . ) |     2 |    * 7200    *    *    *     * |    0    0    0    2    0     2    0 |   1    0    1   0    2
both( s .2. s ) |     2 |    *    * 7200    *    *     * |    0    0    0    0    2     2    0 |   0    1    1   0    2
sefa( β3x . . ) |     2 |    *    *    * 7200    *     * |    1    0    0    1    1     0    0 |   1    1    0   0    1
sefa( . x3β . ) |     2 |    *    *    *    * 7200     * |    0    1    0    1    0     0    1 |   1    0    0   1    1
sefa( . . s5s ) |     2 |    *    *    *    *    * 14400 |    0    0    1    0    0     1    1 |   0    0    1   1    1
----------------+-------+--------------------------------+-------------------------------------+-----------------------
      β3x . .   ♦     6 |    3    0    0    3    0     0 | 2400    *    *    *    *     *    * |   1    1    0   0    0
      . x3β .   ♦     6 |    3    0    0    0    3     0 |    * 2400    *    *    *     *    * |   1    0    0   1    0
both( . . s5s ) ♦     5 |    0    0    0    0    0     5 |    *    * 2880    *    *     *    * |   0    0    1   1    0
sefa( β3x3β . ) |     4 |    0    2    0    1    1     0 |    *    *    * 7200    *     *    * |   1    0    0   0    1
sefa( β3x 2 β ) |     4 |    1    0    2    1    0     0 |    *    *    *    * 7200     *    * |   0    1    0   0    1
sefa( s 2 s5s ) |     3 |    0    1    1    0    0     1 |    *    *    *    *    * 14400    * |   0    0    1   0    1
sefa( . x3β5β ) |     4 |    1    0    0    0    1     2 |    *    *    *    *    *     * 7200 |   0    0    0   1    1
----------------+-------+--------------------------------+-------------------------------------+-----------------------
      β3x3β .   ♦    24 |   12   12    0   12   12     0 |    4    4    0   12    0     0    0 | 600    *    *   *    *
      β3x 2 β   ♦    12 |    6    0    6    6    0     0 |    2    0    0    0    6     0    0 |   * 1200    *   *    *
both( s 2 s5s ) ♦    10 |    0    5    5    0    0    10 |    0    0    2    0    0    10    0 |   *    * 1440   *    *
      . x3β5β   ♦   120 |   60    0    0    0   60   120 |    0   20   24    0    0     0   60 |   *    *    * 120    *
sefa( β3x3β5β ) ♦     6 |    1    2    2    1    1     2 |    0    0    0    1    1     2    1 |   *    *    *   * 7200

starting figure: x3x3x5x