The two primary PS2 emulators, (PC) and NetherSX2/AetherSX2 (Android), both use virtual memory card files.
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You cannot simply drop a downloaded file into an emulator folder; it must be imported into a memory card file.
Look at the serial code of your game inside PCSX2 (e.g., SLUS-21115 for North America, SLES-53908 for Europe).