Yeah the design is certainly from the war years, but this bumper movement here I think is actually the first one JLC produced (a cal 476 in 1946) Bumpers were around in the 30's but brands like JLC and Omega really made them popular...until rotors became the next big thing. It is hard to work out with JLC's the cases and the movement serial numbers add to the confusion . It's easier to get a handle on the era from the face design, the hands, and the calibre of the movement. That way you're usually within a 5 year spread or so....other will know more..
https://www.watchprozine.com/jaeger...ge-of-jlc-history-automatic-watches-/5969083/