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You have to modify the step event in the obj_textbox object to accept more than just keyboard inputs. My recommendation to avoid the instant trigger issue would be to use a script which checks at that instant whether or not a button was pressed, and returns true or false, like this:

function checkInteract() {
    if (keyboard_check_pressed(global.interact_key) || gamepad_button_check_pressed(0, global.gp_interact_key))
        return true;
    else
        return false;
}
If anyone who sees this needs anymore guidance, just reply.