No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3β3x5β

both( . . . . ) | 14400 |    1    1    1     2    1    1 |    1    1    1    2     3    2    2 |   1    1   1   1    3
----------------+-------+--------------------------------+-------------------------------------+----------------------
both( . . x . ) |     2 | 7200    *    *     *    *    * |    0    1    1    1     0    1    0 |   1    0   1   1    1
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( . β3x . ) |     2 |    *    *    *     * 7200    * |    0    1    0    1     0    0    1 |   1    0   0   1    1
sefa( . . x5β ) |     2 |    *    *    *     *    * 7200 |    0    0    1    0     0    1    1 |   0    0   1   1    1
----------------+-------+--------------------------------+-------------------------------------+----------------------
both( s3s . . ) ♦     3 |    0    0    0     3    0    0 | 4800    *    *    *     *    *    * |   1    1   0   0    0
      . β3x .   ♦     6 |    3    0    0     0    3    0 |    * 2400    *    *     *    *    * |   1    0   0   1    0
      . . x5β   ♦    10 |    5    0    0     0    0    5 |    *    * 1440    *     *    *    * |   0    0   1   1    0
sefa( β3β3x . ) |     4 |    1    0    0     2    1    0 |    *    *    * 7200     *    *    * |   1    0   0   0    1
sefa( s3s 2 s ) |     3 |    0    1    1     1    0    0 |    *    *    *    * 14400    *    * |   0    1   0   0    1
sefa( β 2 x5β ) |     4 |    1    2    0     0    0    1 |    *    *    *    *     * 7200    * |   0    0   1   0    1
sefa( . β3x5β ) |     4 |    0    0    2     0    1    1 |    *    *    *    *     *    * 7200 |   0    0   0   1    1
----------------+-------+--------------------------------+-------------------------------------+----------------------
      β3β3x .   ♦    24 |   12    0    0    24   12    0 |    8    4    0   12     0    0    0 | 600    *   *   *    *
both( s3s 2 s ) ♦     6 |    0    3    3     6    0    0 |    2    0    0    0     6    0    0 |   * 2400   *   *    *
      β 2 x5β   ♦    20 |   10   10    0     0    0   10 |    0    0    2    0     0   10    0 |   *    * 720   *    *
      . β3x5β   ♦   120 |   60    0   60     0   60   60 |    0   20   12    0     0    0   60 |   *    *   * 120    *
sefa( β3β3x5β ) ♦     6 |    1    2    2     2    1    1 |    0    0    0    1     2    1    1 |   *    *   *   * 7200

starting figure: x3x3x5x