That is not 100% accurate. You can go look fir another open role at Cigna and keep your severance only if it’s with a different org, and different job title. Read your severance agreement.
I have to also say this was the best severance package for me in 28 years of tech industry being laid off in RIF in my career. So the 2 week was not accurate for only working one year. Cigna is an insurance company and really do not want anyone during them so take very good care of those laid off #hushmoney or at least our VP did in our small org.
Hope this info is helpful!