  The author confirms a conjecture on associated varieties by Toshiyuki
KOBAYASHI for the Klein four symmetric pair
$(\mathrm{E}_{6(-14)},\mathrm{Spin}(8,1))$, which provides an alternative way
to confirm the conjecture for the symmetric pair
$(\mathrm{Spin}(8,2),\mathrm{Spin}(8,1))$. Also, for Klein four symmetric pairs
$(G,G^\Gamma)$ with the exceptional simple Lie groups $G$ of Hermitian type,
there exists a discrete series representation of $G$ which is
$G^\Gamma$-admissible if and only if $(G,G^\Gamma)$ is of holomorphic type.
