An unencrypted message is sent along with its SHA$-256$ hash through a public medium. Does this guarantee authenticity and integrity of the message sent?

Question $18$ options:

This does guarantee authenticity and integrity because the hash value is included.

This doesn't guarantee authenticity and integrity because even if the message is altered, an intruder can recompute the new hash for the altered message and replace the original hash value. The solution is to use a keyed hash function such as HMAC.

This doesn't guarantee authenticity and integrity because even if the message is altered, the included hash value doesn't change.