It's possible to check if the healthcheck passed trought the cli.
docker ps --format json will list all the services running and their corresponding healthchecks.

Proposed method signature: compose.wait_for_healthcheck(sec: int = 10)

High level description how it should work:
Iterate trough services check if healthcheck is healthy.
If not: wait and repeat until timeout.

testcontaners java and node has the option to wait for healthcheck. It would be nice if testcontainers-python would have the same funtionality