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The hardware wallet will generate a seed phrase. Do whatever you need to do to ensure that you never lose the seed phrase and that nobody else ever learns what it is. The seed phrase **is your funds/wallet**. The hardware wallet is just a device to sign transactions using that seed phrase without having to ever store the seed phrase on your computer. It can break, and you won’t have lost anything if you still know the seed phrase.
Using metamask’s „Connect hardware wallet“, it never has access to your seed phrase. It can, however, ask your hardware wallet to sign transactions. It is up to you to only sign transactions you intend to make.