I actually prefer green tea and would urge you to try some "good" ones instead of the Lidl one :)

The difference is huge if you have a high quality green tea. Also make sure to use the right temperature to infuse. I would never go higher than 80°C and for some teas I only us 70°C. This is the most important thing a lot of people do wrong. Hotter water destroys the flavor and makes the tea bitter. Also very short steeping times from 1m to 1,5m are the norm.

Another thing noteworthy is that you can actually use a portion of green tea for 2-3 times depending on the quality (on the same day).