How to graceful shutdown docker container while crontab is running?

I’d like to create a container that itself runs a cronjob.
While the cronjob runs, a redeployment of the container should delay the shutdown for X minutes (my job runs at max 10mins).

Deployment in my case means:

docker-compose pull
docker-compose up

Question: how could I achieve a graceful shutdown here?

My first approach was to let the crontab process being the PID1 process. Inspired from here: Running Cron in Docker

But how could I then detect if a cronjob is currently executing (=delay shutdown), or idle (=shutdown immediately) on redeployment?

dockerfile:

...
ENTRYPOINT ["docker-entrypoint.sh"]
CMD ["cron", "-f", "-L", "2"]

docker-compose.yml:

services:
  my-app:
    init: true

docker-entrypoint.sh:

exec "$@"

crontab:
0/30 * * * * /opt/importer.sh >/proc/1/fd/1 2>/proc/1/fd/2

importer.sh:

#!/usr/bin/bash

#this script takes a few minutes to execute:
#- copy files from a to b
#- run another .sh script that converts them
#- cleanup files

You can increase the stop timeout: