This is a slightly random overview but drawing on some authoritative sources. The trademark stuff is because Stafford Beer sold his intellectual property to Fredmund Malik (or the Malik management centre or Malik consulting), which therefore owns some forms of trademarks for specific words like this, including the Malik VSM (R). It seems from a review of the material that some people respect this, some are licensed, some people run the same or similar processes using different names, and some just ignore it… however it’s clear the sale of intellectual property and knowledge base is completely legitimate.
Overview from Metaphorum: Syntegration – metaphorum
Stafford Beer’s Syntegration as a Renascence of the Ancient Greek Agora in Present-day Organizations, Gunter Nittbaur (Malik Management Zentrum St. Gallen, Switzerland: Stafford Beer’s Syntegration as a Renascence of the Ancient Greek Agora in Present-day Organizations
pdf: Team Syntegrity Background by Allenna D. Leonard, PhD: https://library.uniteddiversity.coop/Effective_Organising/Team_Syntegrity/Team%20Syntegrity%20Background.pdf
pdf: The coherent architecture of team syntegration from small to mega forms – Leonard, A, Truss, J, and Cullen, C
Malik SuperSyntegration(R) (MSS(R)) https://www.malik-management.com/malik-solutions/malik-tools-and-methods/malik-supersyntegration-mss/
Flash video overview of the process at http://www.syntegration.com/
pdf: From workshop to Syntegration(R): the genetic code of effective communication, Martin Pfiffner 2004