Please contact Customer Service at https://www.crimsontrace.com/contactus/?form=ContactUs with your question.
first 20 rounds on my springfield kuna which is a 9mm, the red dot on this crimson trace sight went off center. the lens inside got loose. I can hear the play when I shake it. I know this because it was the same issue I had with my 10 year old $25 amazon red dot(survived about 3000 rounds of .223/5.56 before quitting on me) which I fixed using strong glue on inside lens. I did not bother fixing the crimson because it is still in warranty. I just returned it.
The Crimson Trace CTS25 1x4 MOA Red Dot Sight should work fine with all those cartridges. However, the manufacturer does not specify the recoil rating of the Crimson Trace CTS25 1x4 MOA Red Dot Sight. So I recommend contacting Crimson Trace to confirm. The red dot at the link below is another option that will work for all those cartridges.
https://www.opticsplanet.com/vortex-crossfire-1x-2-moa-red-dot-sight.html
The Crimson Trace CTS25 1x4 MOA Red Dot Sight is shockproof and impact resistant. It should be able to withstand recoil from both 12 ga and 7.62x39. However the manufacturer does not provide a specific recoil rating. I would recommend using the Holosun Paralow Red Dot Sight, which has been thoroughly tested and proven to be able to withstand recoil from high caliber firearms, and can be found by using the link below:
https://www.opticsplanet.com/holosun-paralow-hs403a-red-dot.html
The CTS-25 is our retail version of the CTS-103.
We have never test fit this combination so I can say for sure.