There is no requirement to ground an attic antenna in the national electrical code.
Grounding an antenna in attic.
You should therefore strongly consider grounding your attic mounted antenna by attaching a grounding block to the coaxial cable to shunt off excessive leaked current.
From your description it sounds as if you may create a ground loop which may cause problems throughout the house.
Neither apply to an antenna in the attic.
The mounting rod is insulated from any of the active reception parts.
It doesn t support what you want to do.
But first check the electrical plugs of the various devices attached to the tv line.
There are very specific requirements for grounding an antenna both via mast ground and a shield ground.
If you need to bend the ground wire make the bends as gradual and as smooth as possible.
Air movement in your attic should not pose a problem.
Try to keep your ground wire runs as short as possible and avoid making 90 degree turns or bends.
Exterior antennas must have their mounting rod grounded to provide electric discharge in the event of a lightning strike or static accumulation from other causes.
Securely fasten the grounding wire to the side of your house using staples or other zip screw type wire clamp suitable for the job.
Then on a separate lug on the bussbar run jacketed stranded 2 ground wire outside and straight down the side of the house to a ground rod sunk at least six feet below ground eight feet would be better.