How to save python logging output to a persistent file in the Docker host OS filesystem?

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I’m using Blackvue Sync with Docker Desktop under Windows.

I run a script that periodically checks to see if the BlackVue camera is reachable over Wi-Fi, and if it is, I start the docker desktop, run blackvuesync, then close down the desktop like this:

echo "Starting Docker" 
docker desktop start
sleep 15
docker-compose up -d
sleep 2500
docker desktop stop

When it runs, I can see console output from the Python program in the Docker Desktop UI. I can manually copy it to clipboard, but the blackvuesync docker run is normally unattended.
How can I direct that output into a file in the host OS? After docker desktop is closed, I don't find the python logging output in C:\Users\Tim\AppData\Local\Docker\log\host or anywhere else.

Also, how can I detect (from the host) when blackvuesync.py has completed in the container? I'm just using a fixed timer of about 15 minute and then run docker desktop stop. I'm finding that sometimes the program has not completed since the transfer is surprisingly slow (15-30 Mbps over local Wi-Fi) . Is there a Python function I could add at the end of run() that could perform docker desktop stop ?