Its construction as segmentochoric bicupola makes clear that it also happens to be a CRF.

Incidence matrix according to Dynkin symbol

xox3xxx5oxo&#xt   → both heights = 1/2
(ti || tid || ti)

o..3o..5o..    | 60  *  * |  1  2   2  0  0   0  0  0 |  2  1  2  2  1  0  0  0  0  0  0  0 | 1  2  1  1  0  0  0 0
.o.3.o.5.o.    |  * 60  * |  0  0   2  2  1   2  0  0 |  0  0  1  2  2  1  2  1  2  2  0  0 | 0  1  1  2  1  1  2 0
..o3..o5..o    |  *  * 60 |  0  0   0  0  0   2  1  2 |  0  0  0  0  0  0  0  2  2  1  2  1 | 0  0  0  0  2  1  1 1
---------------+----------+---------------------------+-------------------------------------+----------------------
x.. ... ...    |  2  0  0 | 30  *   *  *  *   *  *  * |  2  0  2  0  0  0  0  0  0  0  0  0 | 1  2  1  0  0  0  0 0
... x.. ...    |  2  0  0 |  * 60   *  *  *   *  *  * |  1  1  0  1  0  0  0  0  0  0  0  0 | 1  1  0  1  0  0  0 0
oo.3oo.5oo.&#x |  1  1  0 |  *  * 120  *  *   *  *  * |  0  0  1  1  1  0  0  0  0  0  0  0 | 0  1  1  1  0  0  0 0
... .x. ...    |  0  2  0 |  *  *   * 60  *   *  *  * |  0  0  0  1  0  1  1  0  1  0  0  0 | 0  1  0  1  1  0  1 0
... ... .x.    |  0  2  0 |  *  *   *  * 30   *  *  * |  0  0  0  0  2  0  2  0  0  2  0  0 | 0  0  1  2  0  1  2 0
.oo3.oo5.oo&#x |  0  1  1 |  *  *   *  *  * 120  *  * |  0  0  0  0  0  0  0  1  1  1  0  0 | 0  0  0  0  1  1  1 0
..x ... ...    |  0  0  2 |  *  *   *  *  *   * 30  * |  0  0  0  0  0  0  0  2  0  0  2  0 | 0  0  0  0  2  1  0 1
... ..x ...    |  0  0  2 |  *  *   *  *  *   *  * 60 |  0  0  0  0  0  0  0  0  1  0  1  1 | 0  0  0  0  1  0  1 1
---------------+----------+---------------------------+-------------------------------------+----------------------
x..3x.. ...    |  6  0  0 |  3  3   0  0  0   0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  * | 1  1  0  0  0  0  0 0
... x..5o..    |  5  0  0 |  0  5   0  0  0   0  0  0 |  * 12  *  *  *  *  *  *  *  *  *  * | 1  0  0  1  0  0  0 0
xo. ... ...&#x |  2  1  0 |  1  0   2  0  0   0  0  0 |  *  * 60  *  *  *  *  *  *  *  *  * | 0  1  1  0  0  0  0 0
... xx. ...&#x |  2  2  0 |  0  1   2  1  0   0  0  0 |  *  *  * 60  *  *  *  *  *  *  *  * | 0  1  0  1  0  0  0 0
... ... ox.&#x |  1  2  0 |  0  0   2  0  1   0  0  0 |  *  *  *  * 60  *  *  *  *  *  *  * | 0  0  1  1  0  0  0 0
.o.3.x. ...    |  0  3  0 |  0  0   0  3  0   0  0  0 |  *  *  *  *  * 20  *  *  *  *  *  * | 0  1  0  0  1  0  0 0
... .x.5.x.    |  0 10  0 |  0  0   0  5  5   0  0  0 |  *  *  *  *  *  * 12  *  *  *  *  * | 0  0  0  1  0  0  1 0
.ox ... ...&#x |  0  1  2 |  0  0   0  0  0   2  1  0 |  *  *  *  *  *  *  * 60  *  *  *  * | 0  0  0  0  1  1  0 0
... .xx ...&#x |  0  2  2 |  0  0   0  1  0   2  0  1 |  *  *  *  *  *  *  *  * 60  *  *  * | 0  0  0  0  1  0  1 0
... ... .xo&#x |  0  2  1 |  0  0   0  0  1   2  0  0 |  *  *  *  *  *  *  *  *  * 60  *  * | 0  0  0  0  0  1  1 0
..x3..x ...    |  0  0  6 |  0  0   0  0  0   0  3  3 |  *  *  *  *  *  *  *  *  *  * 20  * | 0  0  0  0  1  0  0 1
... ..x5..o    |  0  0  5 |  0  0   0  0  0   0  0  5 |  *  *  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  0  0  1 1
---------------+----------+---------------------------+-------------------------------------+----------------------
x..3x..5o..    ♦ 60  0  0 | 30 60   0  0  0   0  0  0 | 20 12  0  0  0  0  0  0  0  0  0  0 | 1  *  *  *  *  *  * *
xo.3xx. ...&#x ♦  6  3  0 |  3  3   6  3  0   0  0  0 |  1  0  3  3  0  1  0  0  0  0  0  0 | * 20  *  *  *  *  * *
xo. ... ox.&#x ♦  2  2  0 |  1  0   4  0  1   0  0  0 |  0  0  2  0  2  0  0  0  0  0  0  0 | *  * 30  *  *  *  * *
... xx.5ox.&#x ♦  5 10  0 |  0  5  10  5  5   0  0  0 |  0  1  0  5  5  0  1  0  0  0  0  0 | *  *  * 12  *  *  * *
.ox3.xx ...&#x ♦  0  3  6 |  0  0   0  3  0   6  3  3 |  0  0  0  0  0  1  0  3  3  0  1  0 | *  *  *  * 20  *  * *
.ox ... .xo&#x ♦  0  2  2 |  0  0   0  0  1   4  1  0 |  0  0  0  0  0  0  0  2  0  2  0  0 | *  *  *  *  * 30  * *
... .xx5.xo&#x ♦  0 10  5 |  0  0   0  5  5  10  0  5 |  0  0  0  0  0  0  1  0  5  5  0  1 | *  *  *  *  *  * 12 *
..x3..x5..o    ♦  0  0 60 |  0  0   0  0  0   0 30 60 |  0  0  0  0  0  0  0  0  0  0 20 12 | *  *  *  *  *  *  * 1

((xo xo3xx5ox))&#zx   → height = 0

o. o.3o.5o.    | 120  * |  1   2   2  0  0 |  2  1   2   2   1  0  0 | 1  2  1  1
.o .o3.o5.o    |   * 60 |  0   0   4  2  1 |  0  0   2   4   4  1  2 | 0  2  2  4
---------------+--------+------------------+-------------------------+-----------
.. x. .. ..    |   2  0 | 60   *   *  *  * |  2  0   2   0   0  0  0 | 1  2  1  0
.. .. x. ..    |   2  0 |  * 120   *  *  * |  1  1   0   1   0  0  0 | 1  1  0  1
oo oo3oo5oo&#x |   1  1 |  *   * 240  *  * |  0  0   1   1   1  0  0 | 0  1  1  1
.. .. .x ..    |   0  2 |  *   *   * 60  * |  0  0   0   2   0  1  1 | 0  2  0  2
.. .. .. .x    |   0  2 |  *   *   *  * 30 |  0  0   0   0   4  0  2 | 0  0  2  4
---------------+--------+------------------+-------------------------+-----------
.. x.3x. ..    |   6  0 |  3   3   0  0  0 | 40  *   *   *   *  *  * | 1  1  0  0
.. .. x.5o.    |   5  0 |  0   5   0  0  0 |  * 24   *   *   *  *  * | 1  0  0  1
.. xo .. ..&#x |   2  1 |  1   0   2  0  0 |  *  * 120   *   *  *  * | 0  1  1  0
.. .. xx ..&#x |   2  2 |  0   1   2  1  0 |  *  *   * 120   *  *  * | 0  1  0  1
.. .. .. ox&#x |   1  2 |  0   0   2  0  1 |  *  *   *   * 120  *  * | 0  0  1  1
.. .o3.x ..    |   0  3 |  0   0   0  3  0 |  *  *   *   *   * 20  * | 0  2  0  0
.. .. .x5.x    |   0 10 |  0   0   0  5  5 |  *  *   *   *   *  * 12 | 0  0  0  2
---------------+--------+------------------+-------------------------+-----------
.. x.3x.5o.    ♦  60  0 | 30  60   0  0  0 | 20 12   0   0   0  0  0 | 2  *  *  *
.. xo3xx ..&#x ♦   6  3 |  3   3   6  3  0 |  1  0   3   3   0  1  0 | * 40  *  *
.. xo .. ox&#x ♦   2  2 |  1   0   4  0  1 |  0  0   2   0   2  0  0 | *  * 60  *
.. .. xx5ox&#x ♦   5 10 |  0   5  10  5  5 |  0  1   0   5   5  0  1 | *  *  * 24