You can use the dittoSeq package, which readily interprets Seurat objects and allows you to either use their in-built split.by parameters or to report extra.vars so that you can use standard ggplot2 syntax, e.g.

my_dotPlot <- dittoSeq(SeuratObject, ...., extra.vars = "mouse.type")
my_dotPlot + facet_wrap(~mouse.type)

You can use patchwork R package. You can save your plot into variables and all you have to do is the following:

dot1 <- DotPlot(...)
dot2 <- DotPlot(...)
dot3 <- DotPlot(...)

to draw them vertically above each other:

dot1 / dot2 / dot3

to draw them side by side:

dot1 + dot2 + dot3