(Roshal ARchive) is a file format used for data compression and archiving. A RAR file is a type of compressed archive that can contain one or more files. It seems that in this context, a RAR file might be used to distribute or store an update for Pokémon Home in a compressed format.
: Nintendo's cloud-based service that allows players to transfer Pokémon between compatible games.
: An .nsp (Nintendo Submission Package) file is the standard format for official Nintendo Switch digital software, DLC, and updates. Homebrew users require these raw files to install game updates offline using package managers.