Hi,
Unfortunately , there is no easy way to move your service account to GMSA.
For your information, during the installation of adconnect , the service account is synched in azure ad in order to generate a account used to in the connector of azure AD.
If you want to replace your current service account by a GMSA, I recommend you to perform the following steps, first start by staging server then by active server:
Export adconnect settings
Export custom rules
Uninstall adconnect service
Reinstall adconnect service choose the option to import expertoted configuration
Please don't forget to mark helpful reply as answer