Split docker compose build-and-test workflow

[make-github-pseudonymous-again]

Fixes #886.

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 64.46%. Comparing base (6f1917a) to head (a4420a3).

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #892 +/- ## ======================================= Coverage 64.46% 64.46% ======================================= Files 703 703 Lines 9705 9705 Branches 1335 1335 ======================================= Hits 6256 6256 - Misses 3003 3004 +1 + Partials 446 445 -1 ``` | [Flag](https://app.codecov.io/gh/infoderm/patients/pull/892/flags?src=pr&el=flags&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=infoderm) | Coverage Δ | | |---|---|---| | [test](https://app.codecov.io/gh/infoderm/patients/pull/892/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=infoderm) | `69.76% <ø> (ø)` | | | [test-app](https://app.codecov.io/gh/infoderm/patients/pull/892/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=infoderm) | `53.75% <ø> (+0.01%)` | :arrow_up: | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=infoderm#carryforward-flags-in-the-pull-request-comment) to find out more.

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