Horn Hat Mickey Tsum will create Bubbles that you can move anywhere on the screen. It will also make any existing Bubbles movable as well. His base number is 3.
Avoid bursting Horned Hat Mickey Tsums with the movable Bubbles because they will count for a much smaller fraction towards filling up your Skill Meter. Instead, clear them either by connecting them manually, or using non-movable Bubbles.
Horn Hat Mickey still counts as an initial-T Tsum for missions (even though they didn't use his alternate name of "Tricky Mickey").