Private key
Secret key material used to create signatures or perform other private-key operations in a public-key system.
In more detail
For many wallets, the private key creates signatures authorizing spending. The wallet can prove authorization without publishing that secret. Someone who obtains the key may be able to sign as the account too, regardless of whose name or profile happens to be associated with it.
How you might use it
Your wallet broadcasts the transfer signature, not the private key it used to create that signature.

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