First check the O rings in the fuel enrichment assembly (AKA choke, though it isn't a choke). These can perish/break and it really screws up the mixture. Also check that the piston smoothly rises and falls over it's entire working stroke, and dirt or corrosion in the dashpot will screw things up.
Note that the mixture adjustment screw (cross head on back of carb) works in the opposite direction the the brass nut on the HS style carbs. Turning it anti-clockwise weakens the mixture, clockwise richens it.
Assuming the needle is correct for your application, then with a warm engine you adjust the the idle mixture to get the highest RPM. As the RPM goes up, adjust the idle screw to bring it back to whatever the standard idle speed is (~800-900 RPM). This should get you in the right ballpark.
Use the lifting pin to raise the height of the piston slightly, and note the engine speed. If the engine speed rises, it's running too rich. If the engine bogs down and stalls, it's running too lean. Ideally you engine speed should just rise briefly and then drop back to around normal idle speed. Don't push the pin all the way in, you only need to lift the piston by around 1mm.
BTW, what size engine do you have in the mini? If it's a fairly standard 998 then you will never get an HIF44 running correctly on it, they are simply too big. The HIF38 is far more suitable for these engines.
As mentioned by someone else, ensure the damper is topped up with oil. This damper does the job of the accelerator pump in fixed jet carbs, if the oil is low you will find the engine will bog down quite badly if you snap the throttle open.