Upgradeable Proxies controlled by Administrator

What would be the right pattern or template to use if we need to implement an upgradeable proxy controlled by an admin account (like TransparentUpgradeableProxy) only that the admin account should also be able to invoke methods of the implementation logic (unlike TransparentUpgradeableProxy)?

You can use TransparentUpgradeableProxy where the admin is an instance of ProxyAdmin. You can also use UUPS proxies.