Hello!
A thousand apologies for bringing it up. But I think those who are looking would be interested. It turns out that at least Kaspersky Secure Connection 1.62.0.22 (armeabi-v7a) works fine on Google TV (Chromecast with TV) version Android 12. I had no luck to run it via Openvpn and I took a chance and tried my luck with the native app.
It works and can be controlled with the remote control.