Is there a way to get version 3.10 through third‑party repositories?

No. Genymotion only distributes the stable 3.11 version on its official site and does not provide links to external repositories for 3.10 Download Genymotion Desktop.

Searching for older versions on unofficial sources carries security risks and a lack of updates, so it is recommended to use the available version or consider the SaaS solution.