25 POINTS!!!! HELP

As part of his school project, Andre had to construct tangent lines through a point outside a circle. He used the following steps to complete the task:

Step 1: Construct a 45° angle, using the center of the circle and the external point as endpoints.
Step 2: Construct the perpendicular bisector to the line segment.
Step 3: Create a new circle that will pass through both the external point and the center of the original circle.
Step 4: Create the tangent lines by connecting the external point to the points where the two circles intersect.

When he was finished, Andre realized that his construction was incorrect. Analyze his process and determine where the mistake was made. (5 points)

Step 1
Step 2
Step 3
Step 4