Dear Fezekile,
First all, if you plan to use the classification recipe, you don't need to export your recipe to your sepal account. This is because the classification recipe has two options to load the image/mosaic; as a saved sepal recipe or as a GEE asset. We advise exporting your mosaic as a GEE asset, especially for large scale mapping like country level. The process is faster and you limit running into user memory limit exceeded errors when processing your classification.
To answer your question on space storage reguirements, it depends on the size of the country, the number of bands added and the scale you are exporting at. These parameters determine the size of the mosaic. If you expect the mosaic size to exceed your available storage resources in sepal or quota in GEE, we advise that you free up some space by deleting old or no longer wanted files. Otherwise, request additional resources if your current limit is 'low'.
I hope that helps!
Regards,
Teo