How to combine the name of categories having the same frequency in R?

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library(stringr)
cat <- c("AA","AA","AA","Ee","Dd","Ee","Bb","Cc","Cc","Cc")
yyy <- table(cat)
# yyy
# AA Bb Cc Dd Ee 
# 3  1  3  1  2 

For table named yyy, the categories AA and Cc have the same frequency. The same is true for Bb and Dd. My intention is to give a name like AA|Cc for AA and Cc. By applying the same principle for other categories, how do I name and generate the following table? Thank you!

# AA|Cc  Ee  Bb|Dd
#  3      2    1
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