As I'm sure some of you know, there's a debate in the astronomical community about the nature (extent and composition) of the atmospheres of planets orbiting red dwarf stars. This is especially true of red dwarf star planets in the habitable zone of their parent stars where these planets could quite likely be tidally locked and/or subject to intense stellar flares from the effects of their parent red dwarf star. It is commonly held in astronomical theory of these planets that such planets probably would have the atmosphere they may have had earlier in their existence taken off over time by these effects on the planet's atmosphere by the actions of their parents stars. Some relevant examples here are Proxima Centauri b and TRAPPIST-1 c, d or e. My question is how much has the James Webb Space Telescope and its observations of Proxima b, some of the TRAPPIST-1 planets or perhaps other potentially habitable planets in the habitable zone around red dwarf stars been observed by James Webb and sufficiently detailed results obtained of actual observations of especially the spectra of their atmospheres to better determine observationally whether the atmospheres of such red dwarf star planets actually have substantially eroded or removed or on the other hand mostly intact and perhaps life-supporting atmospheres in observation rather than only theory?