Coffee, drip hybrid brewing

I've been brewing coffee using a hybrid french press and drip method.

The coffee is steeped for 2 or 3 minutes in a pitcher. I weigh out the grounds and water. Sometimes Joels coffee is so light I have to use double the amount, or steep for longer.

I rinse the paper filter out before using to neutralize the taste.

It takes about 2 minutes to drain. I think I'm doing this mainly to fool around. Grinding to a certain grit using the espresso grinder would help, as well as not using paper, but only metal.