there is not a lot of information on this topic publicly, but... https://isss.utah.edu/forms-publications/documents/J-1-Scholar-Transfer-Out-Policy-Guide.pdf
depending on the program you transfered to, you might be subject to the rule again. check with the program sponsor, check you new DS-2019, and do consult an immigration lawyer who specialized in waivers if you have more doubts...
some additional info... Important notes about the 212(e) waiver (https://isss.umbc.edu/after-your-j-1-visit/):
No additional extension: Once you receive a written waiver recommendation from the US Department of State, you cannot extend the current end date of your DS-2019.
Transfer after waiver: While not recommended, if you are a J-1 scholar at another institution who has already received the 212e waiver but would like to transfer your record to UMBC, it is possible to transfer the J-1 DS-2019 provided the end date remains the same on the new DS-2019.