Lock cylinder with offset pin

A method of re-keying a lock cylinder, the method comprising:

• providing a housing including outer pins, a plug rotatably engaged within the housing and having a key slot and inner pins configured to align with the outer pins, and an engagement member inserted into the plug as a separate piece such that the engagement member engages one or more originally engaged inner pins to space each of the engaged inner pins a distance from a pin resting surface defined by the key slot;
• removing the engagement member from the plug;
• modifying the engagement member after removing the engagement member from the plug;
• and
• inserting the modified engagement member into the plug after modifying the engagement member so that the engagement member engages one or more newly engaged inner pins different from the originally engaged inner pins to space each of the newly engaged inner pins a distance from the pin resting surface.