Wild birds fly free yes. But they don't know where their next meal is coming from and don't have climate control. They are not safe from predators, disease, poachers or man made hazzards.
Ie the design of the Superbowl building us causing birds to fly into it and die.
Captive birds don't have free flight but they live in relative safety, get good regular meals and vet care.
Maybe you could get a companion bird for your Tealu just not another grey. If not a parrot that requires attention and time maybe a finch or something. It's my understanding that finches don't need out of cage time or require as much human interaction.
If I'm wrong or this is a horrible ideal I apologise.