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You can use a switch in parallel with the limiting resistor. Once the drill gains speed, turn on the switch to bypass the resistor. Or use a PWM speed controller and start from slow to high speed. To limit inrush current, you can also use an inductor with low internal resistance.
Add a 1 ohm resistor in series with the power supply so that the peak current is limited. This will make the drill start slower but will not "trip" the power supply. To handle inrush current better, you can add a huge capacitor (4700 uF or more) after the series resistor. If 1 ohm still trips the power supply, keep up moving up by 1 ohm. The maximum "non-trip" resistance should be less than 5 ohm. Watch out for the power rating of the resistor as well. It is I^2*R. Better to use 5W or 10W resistors and check how hot they get in normal operation without smoking.
No, I did not assemble it. By increasing the turns, you induce more voltage. You need to induce more than the forward bias voltage of the LED to see a blink.
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