Replace water pump.
The most obvious would be coolant leaking from the weep hole. A noisy and or loose water pump bearing would also be a good reason to replace the pump.
if the water pump is noisy or it is leaking coolant out the relief hole on bottom of pump.
By bore do you mean weep hole? If so, the seal is leaking. Replace the pump.
if it is not making any noise,or leaking from bottom of pump. Releif hole is on bottom of pump,if leaking replace pump.
If it is leaking next to where the lower radiator hose attaches to the engine, the water pump has failed. That hole is the water pump weep hole.
More than likely there is a hose with a hole in it. Also, if the water pump is bad it could be leaking.
Shold be a weep hole underneath stem of water pump. If it's leaking water it needs to be replaced. You will be able to tell.
Noisy, leaking from the weep hole on the bottom of the pump, or engine overheating.
The bearings can get noisy and you may see the water pump pulley and fan wobble when the engine is running and of course the obvious would be coolant leaking out the weep hole in the water pump.
There is a weep hole at the bottom just under the pulley where there will be a stain of coolant if it is leaking. Or unhook the belt and check the play of the shaft of the water pump.
It could be a bad water pump if it's leaking out the weep hole at the bottom of the water pump.