  VLT/UVES spectroscopic and TESS photometric observations for WASP 0346-21
allow the direct determination of its physical properties, along with the
detection of a circumbinary object and oscillating signals. The high-resolution
spectra yielded the radial velocities of all three stars and the atmospheric
parameters of $T_{\rm eff,A}$ = 7225$\pm42$ K, [M/H] = 0.30$\pm$0.03 dex, and
$v_{\rm A}$$\sin i$ = 78$\pm$5 km s$^{-1}$ of the primary component. The
combined analysis of these observations resulted in the fundamental parameters
of the eclipsing components and the third light of $l_3$ = 0.043$\pm$0.004,
which is consistent with the light contribution of the tertiary star observed
in the echelle spectra. WASP 0346-21 A resides within the overlapping
main-sequence domain of $\delta$ Sct and $\gamma$ Dor variables, while the
secondary component of $M_{\rm B}$ = 0.185$\pm$0.013 M$_\odot$, $R_{\rm B}$ =
0.308$\pm$0.023 R$_\odot$, $T_{\rm eff,B}$ = 10,655$\pm$146 K, and $L_{\rm B}$
= 1.09$\pm$0.17 L$_\odot$ matches well with the low-mass white dwarf (WD) model
for $Z$ = 0.01, corresponding to the thick-disk population classified by the
Galactic kinematics. Multifrequency analyses were performed on the residual
TESS data after removing the binarity effects. The low frequencies around
26.348 day$^{-1}$ and 17.683 day$^{-1}$ are $\delta$ Sct pulsations originating
from WASP 0346-21 A, and the high frequencies of 97.996 day$^{-1}$ and 90.460
day$^{-1}$ are considered to be extremely low-mass WD oscillations. These
results demonstrate that WASP 0346-21 is a hierarchical triple system,
consisting of an EL CVn binary with multiperiodic pulsations in each component
and a distant outer tertiary.
