Generally speaking, music is a useful metaphor for this situation. In most cases, I think of dried herbs as bass notes. The deep, underlying flavor/aroma. Often dried herbs are added earlier in the cooking process, so that have a chance to rehydrate and contribute those underlying flavors to the dish. On the other hand fresh herbs are more frequently the provider of those bright, clean, high notes, especially when added at, or very near the end of the process.
Resinous herbs (rosemary, thyme, oregano) have a higher concentration of volatile compounds than fine herbs (mint, basil, parsley). So, mint, when dried, doesn't hold its flavor and aroma as well as the resinous herbs. It has a lower concentration of volatile compounds to begin with. You probably are not going to get the fresh, minty flavor that you are imagining.
Your best solution, if you want minty flavor, is to use fresh mint. By the way, it's easy to grow, even indoors. If that is not an option, I would add the dried mint at the end of the cooking process. That will preserve what little volatile compounds are left until that final moments.