The 3-in-1 motor lubricant is a much heavier oil than needed. I would suggest either regular 3-in-1 or even better, a fine grade sewing machine oil. The thinner it is, the easier it is for the oil to penetrate. But don't use those "penetrating lubricants."
Applying the oil sparingly with a toothpick is better than dropping it from the can. It won't take much oil to work.
Be careful and patient while working the hinge, if the hinge it tight, it's better to allow some time for the oil to penetrate rather than to force the issue. Good luck!
Russell