Octavian assassinated after the deaths of Antony and Cleopatra

What if Octavian had been assassinated after the deaths of Antony and Cleopatra, but before he received the titles of Augustus and Princeps (between August 30 and January 27 BC)? Would Agrippa have become considered by future historians to be the first Roman Emperor, or would the Republic be restored, only to be replaced by a later Empire under the command of a different general?
 
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