There are very specific requirements for grounding an antenna both via mast ground and a shield ground.
Grounding an antenna in attic.
It doesn t support what you want to do.
Stick to the building code.
Run a length of 6 jacketed stranded ground wire from whichever you installed there directly to your bussbar.
So there isn t any ground from the tv either to bleed off any voltage that might pass through the antenna.
Neither apply to an antenna in the attic.
There is no requirement to ground an attic antenna in the national electrical code.
Securely fasten the grounding wire to the side of your house using staples or other zip screw type wire clamp suitable for the job.
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.
If you need to bend the ground wire make the bends as gradual and as smooth as possible.
The mounting rod is insulated from any of the active reception parts.
Air movement in your attic should not pose a problem.
But first check the electrical plugs of the various devices attached to the tv line.
Try to keep your ground wire runs as short as possible and avoid making 90 degree turns or bends.