How will you convert ethanoic acid into benzene?

(N/A) $CH_3COOH$ $\xrightarrow{NaOH_{(aq)}} CH_3COONa$ $\xrightarrow[\Delta]{Soda\ lime} CH_4$ $\xrightarrow[hv]{Cl_2} CH_3Cl$ $\xrightarrow[Wurtz\ reaction]{Na/dry\ ether} C_2H_6$ $\xrightarrow{Cl_2} C_2H_5Cl$ $\xrightarrow{alc. KOH} CH_2=CH_2$ $\xrightarrow{Br_2} CH_2Br-CH_2Br$ $\xrightarrow{alc. KOH} CH_2=CHBr$ $\xrightarrow{NaNH_2} CH \equiv CH$ $\xrightarrow[873\ K]{Red\ hot\ iron\ tube} C_6H_6$ (Benzene)