Look for the master first
Ask for the original SVG, PDF vector or design project before processing a screenshot. An intact vector source can be rendered at the target size with exact shapes and spacing. Use AI enlargement only when the bitmap is the best source you have.
Keep the original raster and begin at 2x. Do not combine background removal, color changes and enlargement in a single unreviewed handoff. Separate checkpoints make an unwanted change much easier to find.