Does an outdoor TV antenna mounted on a regular 7 ft steel fence pole need
further grounding. (It works fine for local stations).

In other words, the steel pole is about a foot into the soil, and the
antenna is bolted to it. (There's also a guy wire for stability).

This should bleed builtup charges to the ground, right?

This should bleed a lightening strike to the ground, right?

If more grounding is needed, how should it be done?