No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

x3β4β3x

both( . . . . ) | 1152 |   1   1   1    2   1 |   1   1   1   1   2   1   1   2 |  1  1  1  1   2
----------------+------+----------------------+---------------------------------+----------------
both( x . . . ) |    2 | 576   *   *    *   * |   1   1   0   0   1   0   1   0 |  1  1  1  0   1
both( . . . x ) |    2 |   * 576   *    *   * |   1   0   0   1   0   1   0   1 |  0  1  1  1   1
sefa( x3β . . ) |    2 |   *   * 576    *   * |   0   1   0   0   1   1   0   0 |  1  1  0  0   1
sefa( . s4s . ) |    2 |   *   *   * 1152   * |   0   0   1   0   1   0   0   1 |  1  0  0  1   1
sefa( . . β3x ) |    2 |   *   *   *    * 576 |   0   0   0   1   0   0   1   1 |  0  0  1  1   1
----------------+------+----------------------+---------------------------------+----------------
both( x . . x ) |    4 |   2   2   0    0   0 | 288   *   *   *   *   *   *   * |  0  1  1  0   0
      x3β . .   ♦    6 |   3   0   3    0   0 |   * 192   *   *   *   *   *   * |  1  1  0  0   0
both( . s4s . ) ♦    4 |   0   0   0    4   0 |   *   * 288   *   *   *   *   * |  1  0  0  1   0
      . . β3x   ♦    6 |   0   3   0    0   3 |   *   *   * 192   *   *   *   * |  0  0  1  1   0
sefa( x3β4β . ) |    4 |   1   0   1    2   0 |   *   *   *   * 576   *   *   * |  1  0  0  0   1
sefa( x3β 2 x ) |    4 |   0   2   2    0   0 |   *   *   *   *   * 288   *   * |  0  1  0  0   1
sefa( x 2 β3x ) |    4 |   2   0   0    0   2 |   *   *   *   *   *   * 288   * |  0  0  1  0   1
sefa( . β4β3x ) |    4 |   0   1   0    2   1 |   *   *   *   *   *   *   * 576 |  0  0  0  1   1
----------------+------+----------------------+---------------------------------+----------------
      x3β4β .   ♦   48 |  24   0  24   48   0 |   0   8  12   0  24   0   0   0 | 24  *  *  *   *
      x3β 2 x   ♦   12 |   6   6   6    0   0 |   3   2   0   0   0   3   0   0 |  * 96  *  *   *
      x 2 β3x   ♦   12 |   6   6   0    0   6 |   3   0   0   2   0   0   3   0 |  *  * 96  *   *
      . β4β3x   ♦   48 |   0  24   0   48  24 |   0   0  12   8   0   0   0  24 |  *  *  * 24   *
sefa( x3β4β3x ) ♦    8 |   2   2   2    4   2 |   0   0   0   0   2   1   1   2 |  *  *  *  * 288

or
both( . . . . )    | 1152 |    2    2    2 |   1   2   1    4   2 |  2   2   2
-------------------+------+----------------+----------------------+-----------
both( x . . . )  & |    2 | 1152    *    * |   1   1   0    1   1 |  1   2   1
sefa( x3β . . )  & |    2 |    * 1152    * |   0   1   0    1   1 |  1   1   1
sefa( . s4s . )    |    2 |    *    * 1152 |   0   0   1    2   0 |  2   0   1
-------------------+------+----------------+----------------------+-----------
both( x . . x )    |    4 |    4    0    0 | 288   *   *    *   * |  0   2   0
      x3β . .    & ♦    6 |    3    3    0 |   * 384   *    *   * |  1   1   0
both( . s4s . )    ♦    4 |    0    0    4 |   *   * 288    *   * |  2   0   0
sefa( x3β4β . )  & |    4 |    1    1    2 |   *   *   * 1152   * |  1   0   1
sefa( x3β 2 x )  & |    4 |    2    2    0 |   *   *   *    * 576 |  0   1   1
-------------------+------+----------------+----------------------+-----------
      x3β4β .    & ♦   48 |   24   24   48 |   0   8  12   24   0 | 48   *   *
      x3β 2 β    & ♦   12 |   12    6    0 |   3   2   0    0   3 |  * 192   *
sefa( x3β4β3x )    ♦    8 |    4    4    4 |   0   0   0    4   2 |  *   * 288

starting figure: x3x4x3x