Possible Reasons Why the Alter Rebbe Did Not Include It in the Siddur: a. It neither praises Hashem nor requests our needs. b. We must exercise caution when making additions to the siddur. c. Some individuals have concerns regarding its classification as principles and the use of the number 13.
https://www.torahrecordings.com/rebbe/igroskodesh/012/001/3823