I didn't reply before because I had forgotten everything about that race(except that I couldn't do it)..Since,the new update made me restart the game with a new save...I once again came upon that race and tried it...still couldn't do it

my fingers hurt from all the repeated "left arrow-right arrow" tapping..So congrats on being able to complete it..you sir,are built different

.
P.S.-I know that you can unlock the scene without completing the race by finishing maki's content and asking her at the fountain.