In the Ethereum ecosystem, there are two types of accounts: Externally Owned Accounts (EOA Wallets) and Smart Contract Accounts (Smart Contract Wallets).
Externally Owned Accounts are controlled by a Private Key, which is generated by your Secret Recovery Phrase and CAN be imported/exported to any other Ethereum wallets. GameStop Wallet is an EOA wallet. For example an Ethereum wallet created with Metamask can be imported to Gamestop Wallet.
Smart Contract Wallet
Smart Contract Wallets are generated by a smart contract which CAN NOT be exported/imported to other Ethereum wallets. Smart contract wallets are generally controlled by multiple keyholders (or EOA wallets). You can assign keyholders (guardians) for security. For example, Loopring smart contract wallet can not be imported to GameStop wallet. You can however, transfer funds from a smart contract wallet to an EOA wallet.
Note: Your Loopring wallet has an EDDSA key. This key is not the same as a Private Key. If it is imported as a Private Key, it will generate a non-functional account that is unable to sign transactions. DO NOT import any key from a smart contract wallet like Loopring into an EOA wallet like GameStop Wallet, or you will lose any funds you then deposit into that account in your GameStop Wallet.