Android Companion App: permanently remember/select a client certificate

Is there a way to permanently remember a client certificate in the Android companion app?

I've recently implemented client certs for my HA setup (through an exsternal nginx reverse proxy). It's working great, including with the Android app. However, regularly (after a day or so) the companion app stops reporting back to the HA server, and I have to open it on the device and re-select the client cert - then it works again, for a while.

After some googling, it seems that Android doesn't support permanently selecting a client cert (webview / Chrome functionality?). According to the HA docs, the app uses the native Android cert store. So, could this be solved by uploading/storing a client cert directly in the HA companion app? Or what other solution(s) exist for this?

Thanks in advance for any suggestions and help!