moss in shaded areas of my yard
Unfortunately, even shade-tolerant fescues can't grow in dense shade. Moss survives quite well in shady areas. It also survives in poorly drained compacted soil.
Lime is not usually recommended to treat moss. Most soils in Minnesota are quite alkaline, and lime will only make this worse. Unless you have a soil test result indicating a need for lime, don't apply lime.
The best way to treat mossy areas are, first, improve drainage and reduce soil compaction, perhaps by aeration, or, even better, digging or double-digging in organic matter, such as compost or rotted manure. And second, reduce shade, if possible. You can, for instance, prune up the tree canopy to let more light in. If this is not possible or there is still not enough sunlight for a lawn, reconsider turfgrass.