No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

β3β4x3β

both( . . . .    ) | 1152 |   1   1   1    2   1   1 |   1   1   1   2    3   2   2 |  1   1  1  1   3
-------------------+------+--------------------------+------------------------------+-----------------
both( . . . x    ) |    2 | 576   *   *    *   *   * |   0   1   1   1    0   1   0 |  1   0  1  1   1
both( s . . s2*a ) |    2 |   * 576   *    *   *   * |   0   0   0   0    2   2   0 |  0   1  1  0   2
both( . s . s2*a ) |    2 |   *   * 576    *   *   * |   0   0   0   0    2   0   2 |  0   1  0  1   2
sefa( s3s . .    ) |    2 |   *   *   * 1152   *   * |   1   0   0   1    1   0   0 |  1   1  0  0   1
sefa( . s4x .    ) |    2 |   *   *   *    * 576   * |   0   1   0   1    0   0   1 |  1   0  0  1   1
sefa( . . x3β    ) |    2 |   *   *   *    *   * 576 |   0   0   1   0    0   1   1 |  0   0  1  1   1
-------------------+------+--------------------------+------------------------------+-----------------
both( s3s . .    ) ♦    3 |   0   0   0    3   0   0 | 384   *   *   *    *   *   * |  1   1  0  0   0
both( . s4x .    ) ♦    4 |   2   0   0    0   2   0 |   * 288   *   *    *   *   * |  1   0  0  1   0
      . . x3β      ♦    6 |   3   0   0    0   0   3 |   *   * 192   *    *   *   * |  0   0  1  1   0
sefa( s3s4x .    ) |    4 |   1   0   0    2   1   0 |   *   *   * 576    *   *   * |  1   0  0  0   1
sefa( s3s . s2*a ) |    3 |   0   1   1    1   0   0 |   *   *   *   * 1152   *   * |  0   1  0  0   1
sefa( β . x3β2*a ) |    4 |   1   2   0    0   0   1 |   *   *   *   *    * 576   * |  0   0  1  0   1
sefa( . β4x3β    ) |    4 |   0   0   2    0   1   1 |   *   *   *   *    *   * 576 |  0   0  0  1   1
-------------------+------+--------------------------+------------------------------+-----------------
both( s3s4x .    ) ♦   24 |  12   0   0   24  12   0 |   8   6   0  12    0   0   0 | 48   *  *  *   *
both( s3s . s2*a ) ♦    6 |   0   3   3    6   0   0 |   2   0   0   0    6   0   0 |  * 192  *  *   *
      β . x3β2*a   ♦   12 |   6   6   0    0   0   6 |   0   0   2   0    0   6   0 |  *   * 96  *   *
      . β4x3β      ♦   48 |  24   0  24    0  24  24 |   0  12   8   0    0   0  24 |  *   *  * 24   *
sefa( β3β4x3β    ) ♦    6 |   1   2   2    2   1   1 |   0   0   0   1    2   1   1 |  *   *  *  * 576

starting figure: x3x4x3x