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Partial scoring
Partial scoring is typically used in IOI style contests, while DOMjudge has its primary focus on ICPC style contests.
If you're just looking for a system which has partial scoring support, you may consider CMS, as it was developed for the IOI.
DOMjudge assumes that a problem is only correctly solved when all testcases yield a correct result. Because of this, judging can be lazy: stop when one testcase returns a non-correct result. This greatly speeds up judging with the advantage for the participants that they get their outcome earlier. This feature would have to be dropped or disabled to support partial scoring.
The fundamental assumption that each submission is either wrong or correct is also used throughout the scoreboard code, e.g. to optimize calculating each team's score and storing a cached version of scores and ranks. Introducing partial scoring would require going through all this code to find any such hidden assumptions.
As a starter for code that will need to be modified, see: https://github.com/DOMjudge/domjudge/blob/main/webapp/src/Service/ScoreboardService.php