You cannot erase Nintendogs save data via the R4i flashcart. The R4i only loads ROMs — saves are stored on the DS/DSi/3DS internal NAND, not the card.
SAV or NDS.SAV in system NAND.R4i is often used for piracy. If you own a legitimate Nintendogs cartridge, use that. If playing a ROM, you should own the game. Save manipulation on pirated copies is still piracy-adjacent.
Use the console’s built-in save management — it’s designed for this.