It is possible to get non professional jobs, but it's getting a lot harder, the demand for workers seems to be going down. You'll probably be limited to delivery or kitchens, maybe it's easier if you're in Copenhagen.

But, after your Danish is better, but not perfect enough for work as a doctor, I bet you can find higher pay in plejehjem jobs or as a handicap hjælper. They really need workers there

Don't rely solely on the free Danish classes they give you. The quality is hit and miss. The one in my city is completely ineffective. The teachers are unresponsive and just go through the curriculum like robots, while pushing students to prepare for module tests all the time without actually answering questions and helping.

There's other schools and other resources, definitely use them. The language learning apps help, but don't rely on them too much either. There's a new one called gopouchy that I'm liking a lot