  The escape of Lyman-alpha photons at redshifts greater than two is an ongoing
subject of study and an important quantity to further understanding of
Lyman-alpha emitters (LAEs), the transmission of Lyman-alpha photons through
the interstellar medium and intergalactic medium, and the impact these LAEs
have on cosmic reionisation. This study aims to assess the Lyman-alpha escape
fraction over the redshift range 2.9<z<6.7, focusing on VLT/MUSE-selected,
gravitationally lensed, intrinsically faint LAEs. These galaxies are of
particular interest as the potential drivers of cosmic reionisation. We
assessed the Lyman-alpha escape fraction in two ways: through an individual
study of 96 LAEs behind the A2744 lensing cluster, with JWST/NIRCam and HST
data, and through a study of the global evolution of the escape fraction using
the state-of-the-art luminosity functions for LAEs and the UV-selected `parent'
population (dust-corrected). We compared these studies to those in the
literature based on brighter samples. We find a negligible redshift evolution
of the escape fraction for our individual galaxies; it is likely that it was
washed out by significant intrinsic scatter. We observed a more significant
evolution towards higher escape fractions with decreasing UV magnitude and fit
this relation. When comparing the two luminosity functions to derive the escape
fraction in a global sense, we saw agreement with previous literature when
integrating the luminosity functions to a bright limit. However, when
integrating using a faint limit equivalent to the observational limits of our
samples, we observed enhanced escape fraction values, particularly around z~6,
where the escape fraction becomes consistent with 100%. This indicates for the
faint regimes we sampled that galaxies towards reionisation tend to allow very
large fractions of Lyman-alpha photons to escape. (shortened)
