Connecting Electric Energizer to Dog Pen Fence: Galvanized Wire Panels, Earth Electrode, & Setup

At the beginning I warmly welcome users

My question is about connecting the electric keeper to the fence. Well, I built a playpen for my dog made of galvanized wire panels (photo). The panels are bolted to the metal posts with screws and plates - these are concreted in the ground. Everything is placed on the foundations after the garage, so the whole is concreted with flooring, and in addition - for the comfort of the dog, a large part is lined with rubber mats used in piggeries. Unfortunately, the dog learned to climb on the fence and jump (despite its dimensions it does it like a cat )
I occasionally bought an eclectic shepherd who I would like to mount at the top of the fence. Because the dog, in addition to jumping, liked to bend the wires in panels, I would like to place the second line about 50 cm from the ground.
Due to the concrete floor and the rubber mats, I don't know how to connect the earth electrode.
I wonder if the wire intended for grounding can be connected to the fence (it conducts electricity, and the posts are additionally grounded), and then run two lines over the rubber insulators: one at the top and the other several dozen cm above the ground.
I assume that the dog climbing the fence connected to the earth will at some point touch the wire with the current and the circuit will close.
Am I right and this assembly will be correct?
And the second question is whether if the wire with electricity comes into contact with a metal fence, there is a risk of damage to the shepherd, or simply the electricity will go to the ground and the energizer will be all.
Just in case I provide the device data (it may be a bit too weak for my dog, but I bought one)
power supply: 230V / 12V
output voltage: 9 500V
voltage at 500Ohm: 3200V
input energy: 0.53J
output energy: 0.4J
max. fence length: 10km
power consumption: 85 mA

Install the installations through insulators, connect the ground wire to the ground using a galvanized pin. Good luck.

Rubber is usually a poor insulator - especially the black one that is used to make tires, it specially contains carbon to make it conductive.

Good insulators are e.g. PVC tiles and liners, almost all plastics, glass, paraffin, rosin (not burnt) ...

You can buy small insulators for military antennas on Allegro and run the HV lines of the keeper on them. At this fence length (line capacity in relation to the ground), it strongly limits the impulse from the "keeper" generator, so try to make up "is the best insulation.

In farmers' stores there is a whole range of insulators at penny prices, also bolted to the posts.

Thanks for the answers. Complete with shepherds were insulators with screws. When I looked at them, it turned out that they were not made of rubber, but of hard PVC, so insulation should not be a problem. My main doubt was how to connect the earth electrode. The dog will stand on the concrete floor lined with rubber mat, so when it touches the wire (I think so ) the impulse will not pass.
And that's good because I'm not going to electrocute him, just teach him not to climb the fence.
So I thought that I would connect the earth electrode to the fence and then when the dog tries to climb the net and put one paw on the fence and the other touches the wire under the current should get a shot.
triacs - he wrote to make grounding with a metal pin embedded in the ground.
I wonder which method will be better (earthing with a pin, or directly to the fence), and maybe all the same and whether I will damage the device (shepherd).

My brother's farm had a similar fence, only for cows in the meadow. The energizer was in the barn and the earth electrode was connected directly at the barn, with just such a pin, and the "plus wire" led from the barn door creating a "street" for cows to the meadow and the whole meadow surrounded, about 300 - 350 meters to the furthest end of the meadow. Even at the farthest end of the meadow, it "kicked" decently when the fence wire was accidentally touched, and after rain or fog it was necessary to walk to check the insulators because on some "puncture" shot due to moisture, insulator contamination with moist moss, lichen. So that I think that connecting the ground wire to the fence is not necessary, and so it "flaps" neatly whether it touches the metal fence and wire "taming" directly, or touches the fence wire standing on the ground / floor.

Hello again - thank you for the hints.
Everything is working fine now. So a quick description (it may be useful to someone). The posts in the fence are made of angle iron, so in each I screwed a wooden square timber to have something to screw the insulators into. After the insulators I extended the cable to the shepherds, I connected the cable to the insulator with a high voltage cable (I do not know this, but it is a thick copper wire surrounded by a thin layer of insulation - if I understood correctly it is used in cars). I also bought a thicker wire for grounding (yellow with a green stripe). At a friend's in the garage I found a piece of galvanized cooper (about 60 cm). I drilled a hole and with a screw, nut and two washers attached the cord to the cooper, to connect a little towot and a hammer to the ground.
The whole installation cost me about PLN 140-150, but I was able to buy an energizer on a popular website with offers for PLN 100 with insulators and a cable - practically unused
As for the shepherd's power:
power supply: 230V / 12V
output voltage: 9 500V
voltage at 500Ohm: 3200V
input energy: 0.53J
output energy: 0.4J
I touched for a try - the impulse is not very strong. It was enough for my dog (a very shaggy German pointer), but if I were buying a new energizer I would choose something a little stronger - yes about 1 J.
Best regards and thank you again for your help