Shouldn't there be "bogie" instead of "bogey" in this sentence?

Solution 1:

Yes it should be bogie instead of bogey.

Actually the bogie of a train or truck does refer to the undercarriage.

Bogey is from a set of words relating to some alarming manifestation. Similar to bugbear or bugaboo. Likely from the Scandinavian for a big man or bugge. It came to mean one stroke over par after a Major Wellman claimed his bad luck at golf one day was from playing against a Bogeyman or phantom on the course.*

I am not surprised in the misuse of one spelling over another since the words sound just alike and few people could tell you about an undercarriage. You might use one for the other and have only this group to tell you how wrong it is but they did not begin as variants.

• Dictionary of Word Origins, Ayto