Wine crashes when running in Lambda container

I have a container image that I have built following the guidelines in how to create custom Docker containers for Lambda. It's definitely hooked up correctly because I'm getting logs from the runs.

The situation is, I have a windows .exe binary file (provided by an unresponsive vendor) that I need to run, and Lambda sounded like a great tool for this. I installed Wine in the custom container, great. But every time the function fires, I look at that part in the CloudWatch logs and it's clear that Wine has crashed with a coredump in the /tmp directory.

I have tried

• just having wine print its version and exit, same issue, it's just on running the program at all,
• using different versions of Wine,
• using different WINEPREFIX and WINEARCH environment variables,
• building Wine from source myself as part of the Docker container build process, and
• posting in the Wine forums for help.

Questions:

• Is there any way to get out one of those core dumps?
• Could this be because all directories other than /tmp are read-only to the container? How would I figure this out?
• Is there any other way to run an .exe in Lambda?

Thanks in advance. I know this is a niche problem.

See this other question for a similar unsolved question. May be the same issue but it is from months ago and has no activity.