Bad news about Trappist;
So, the Trappist-system was very promising in that it has several Earth-like (in mass) worlds in the habitiable-zone. But, after studying the first two worlds, Trappist 1b & 1c, it's concluded that they have a very thin atmosphere, if any at all.
https://www.nature.com/articles/s41586-023-06232-zSo, red-dwarfs, because for planets to be in their habitable-zone, they have to orbit close, but, so close, that, stellar-winds can interact with their atmospheres and with them being tidally-locked, they may lack a magnetic-field. In most cases, the host-star would have blown the atmosphere off of the planet. Trappist 1b has virtually no atmosphere and Trappist 1c, has, well, an atmosphere probably thinner than Mars, whereas, we expected a Venus-like atmosphere; now, granted, both these worlds are super-close to the star, and the system is, in fact, 5.4 to 9.8 Billion years-old; even that much time, stellar-winds could reduce an atmosphere.
What this means for Battletech: M-Class stars might just be recharging stars for jumpships; pirate-points in which there are not habitable worlds in the system. This is also really, really great news for the xenophobes out there, in that, red-dwarfs, being the most numerous-stars, are hostile to life as we know it, which, reduces that chances of running into an intelligent E.T. The only known planet orbiting a red-dwarf with life on it is Proxima-Centuari B (home-world of the Grays).
They still haven't analyzed all the worlds in the HZ yet, so, at least the closest worlds may lack an atmosphere for red-dwarfs.
Here's an obligatory image thereof: