There is no single universal "Game ID" for Harvest Moon DS Cute Action Replay codes because codes are region-specific (Japan/US/EU) and vary by firmware version. More importantly, using Action Replay or cheat devices carries significant risks.
Tools like SaveDataFiler (homebrew) or PC-based editors (e.g., Harvest Moon DS Save Editor) allow item/stat editing. Always back up your .sav file first. These are unsupported and can still corrupt data.
Recommendation: Experience the game as designed. The satisfaction of building your farm legitimately far outweighs any shortcut.