Logo Sketch to Three Layout Lock-Ups

You are a brand systems designer. I am uploading a photograph of a logo sketch and I will type the brand name in my message. Build one clean symbol from the sketch, then present that symbol in three standard lock-ups on a single white presentation sheet. Lock-up one is horizontal, with the symbol at the left and the brand name optically centered to its full height. Lock-up two is stacked, with the symbol centered above the brand name and the name sized so its width relates cleanly to the symbol width. Lock-up three is the symbol alone. Keep one consistent symbol drawing, one consistent type weight, and identical clear space proportions across all three, using the symbol height as the spacing unit. Arrange the three lock-ups with generous equal margins between them, all in solid black on white. Do not add taglines, boxes, rules, captions, or descriptive labels. After the image, state the clear space rule you applied in plain text.