No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3β4β3x

both( . . . . ) | 1152 |   1   1    2    2   1 |   1   1   1    3   2   2   2 |  1   1  1  1   3
----------------+------+-----------------------+------------------------------+-----------------
both( . . . x ) |    2 | 576   *    *    *   * |   0   0   1    0   2   1   1 |  0   1  1  1   2
both( s 2 s . ) |    2 |   * 576    *    *   * |   0   0   0    2   0   2   0 |  1   0  1  0   2
sefa( s3s . . ) |    2 |   *   * 1152    *   * |   1   0   0    1   1   0   0 |  1   1  0  0   1
sefa( . s4s . ) |    2 |   *   *    * 1152   * |   0   1   0    1   0   0   1 |  1   0  0  1   1
sefa( . . β3x ) |    2 |   *   *    *    * 576 |   0   0   1    0   0   1   1 |  0   0  1  1   1
----------------+------+-----------------------+------------------------------+-----------------
both( s3s . . ) ♦    3 |   0   0    3    0   0 | 384   *   *    *   *   *   * |  1   1  0  0   0
both( . s4s . ) ♦    4 |   0   0    0    4   0 |   * 288   *    *   *   *   * |  1   0  0  1   0
      . . β3x   ♦    6 |   3   0    0    0   3 |   *   * 192    *   *   *   * |  0   0  1  1   0
sefa( s3s4s . ) |    3 |   0   1    1    1   0 |   *   *   * 1152   *   *   * |  1   0  0  0   1
sefa( s3s 2 x ) |    4 |   2   0    2    0   0 |   *   *   *    * 576   *   * |  0   1  0  0   1
sefa( β 2 β3x ) |    4 |   1   2    0    0   1 |   *   *   *    *   * 576   * |  0   1  0  0   1
sefa( . β4β3x ) |    4 |   1   0    0    2   1 |   *   *   *    *   *   * 576 |  0   0  0  1   1
----------------+------+-----------------------+------------------------------+-----------------
both( s3s4s . ) ♦   24 |   0  12   24   24   0 |   8   6   0   24   0   0   0 | 48   *  *  *   *
both( s3s 2 x ) ♦    6 |   3   0    6    0   0 |   2   0   0    0   3   0   0 |  * 192  *  *   *
      β 2 β3x   ♦   12 |   6   6    0    0   6 |   0   0   2    0   0   6   0 |  *   * 96  *   *
      . β4β3x   ♦   48 |  24   0    0   48  24 |   0  12   8    0   0   0  24 |  *   *  * 24   *
sefa( β3β4β3x ) ♦    6 |   2   2    2    2   1 |   0   0   0    2   1   1   1 |  *   *  *  * 576

starting figure: x3x4x3x