Palindrome Sudoku

race­car  rrace­ca   
ace­carr  race­car   
cecar­ra  ace­carr     weres
ecar­rac  cecar­ra     awari
car­race  ecar­rac     rends
arracec  car­race   
rrace­ca  arracec   

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Writ­ing some­thing where every ver­ti­cal and hor­i­zon­tal is a word is much hard­er than I thought.