What is a Web3 wallet ?

A wallet stores the public and private keys necessary to buy/sell/transfer all your digital assets, be it cryptocurrencies or NFTs. There are two main types of wallets—software based “hot wallets” and physical “cold wallets.” There are a variety of differences between hot wallets and cold wallets, but the main difference is that hot wallets are connected to the internet, while cold wallets are kept offline. Wallets are created and secured with a private seed phrase, and function similar to a browser extension (e.g. on Chrome, Firefox) that allows you to access DApps (decentralized applications) and perform crypto or NFT transactions.

To be noticed here that, different blockchain applies different wallet.