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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
python:3.10.5-slim-buster is a Debian GNU/Linux 10 (buster). Follow the Debian package link given by wait-for-it, we'll eventually find this link https://packages.debian.org/source/oldoldstable/wait-for-it, I downloaded the wait-for-it_0.0~git20160501.orig.tar.gz file and extracted wait-for-it.sh out to the project root directory where setup.py, app.py, .dockerignore, Dockerfile and docker-compose.yml are.
Further Googling, I found this Docker document Control startup and shutdown order in Compose, whereby several tools are recommended to implement the waiting, among them are wait-for-it and Wait4X.
https://docs.docker.com/compose/ -- an overview of Compose.