  The phenomenon of transit depth variability offers a pathway through which
processes such as exoplanet atmospheric activity and orbital dynamics can be
studied. In this work we conduct a blind search for transit depth variations
among 330 known planets observed by the Transiting Exoplanet Survey Satellite
(TESS) within its first four years of operation. Through an automated
periodogram analysis, we identify four targets (KELT-8b, HAT-P-7b, HIP 65Ab,
and TrES-3b) which appear to show significant transit depth variability. We
find that KELT-8b's transit depth variability likely comes from contaminating
flux from a nearby star, while HIP 65Ab and TrES-3b's apparent variability are
probable artifacts due to their grazing orbits. HAT-P-7b indicates signs of
variability that possibly originate from the planet or its host star. A
population-level analysis does not reveal any significant correlation between
transit depth variability and host star effective temperature and mass; such
correlation could arise if stellar activity was the cause of depth variations
via the Transit Light Source effect. Extrapolating our ~1% detection rate to
the upcoming Roman mission, predicted to yield of order 100,000 transiting
planets, we expect that ~1,000 of these targets will be found to exhibit
significant transit depth variability.
