  Promptly after high-resolution experiments harbinger the field of precision
cosmology low- and high-redshift observations abruptly gave rise to a tension
in the measurement of the present-day expansion rate of the Universe ($H_0$)
and the clustering of matter ($S_8$). The statistically significant
discrepancies between the locally measured values of $H_0$ and $S_8$ and the
ones inferred from observations of the cosmic microwave background assuming the
canonical $\Lambda$ cold dark matter (CDM) cosmological model have become a new
cornerstone of theoretical physics. $\Lambda_s$CDM is one of the many beyond
Standard Model setups that have been proposed to simultaneously resolve the
cosmological tensions. This setup relies on an empirical conjecture, which
postulates that $\Lambda$ switched sign (from negative to positive) at a
critical redshift $z_c \sim 2$. We reexamine a stringy model that can describe
the transition in the vacuum energy hypothesized in $\Lambda_s$CDM. The model
makes use of the Casimir forces driven by fields inhabiting the incredible bulk
of the dark dimension scenario. Unlike the $\Lambda_s$CDM setup the model
deviates from $\Lambda$CDM in the early universe due to the existence of
relativistic neutrino-like species. Using the Boltzmann solver CLASS in
combination with MontePython we confront predictions of the stringy model to
experimental data (from the Planck mission, Pantheon+ supernova type Ia, BAO,
and KiDS-1000). We show that the string-inspired model provides a satisfactory
fit to the data and can resolve the cosmological tensions.
