A few things can cause that trickle. Let's start with the most common.
First, confirm the tank is actually full. It takes 1.5 to 2.5 hours to fill from empty. If you just installed it or ran the tank dry, you need to wait.
If the tank is full, your incoming water pressure might be too low. The system needs at least 45 PSI to work correctly. Below that, flow will always be slow. You'd need a booster pump.
Also, check for a crimped or kinked tubing somewhere between the tank and the faucet. Even a small kink can restrict flow dramatically. Follow the blue tubing from the faucet back to the system and straighten any bends.
IF THAT DIDN'T WORK: The tank's internal air pressure might be low, but that's less common on a new system. The main suspects are tank fill status and incoming water pressure.