Replacing mr16 sockets

Had about 20 of these mr16 recessed lights put in recently - halo h3 i think. A few went out and replacing bulb does nothing. Seems this is common problem and I have to replace sockets. Bought a few from amazon and also got some ceramic wire nuts.

I can splice and use the nuts but the heat shield that goes over the wires won’t fit. I assume they put that in there cause the wire isn’t rated for the heat. I can solder the wires but can I use electric tape or something? Figured the tape is rated similar to wires and goes under the heat shield.

Is regular HD electric tape rated for 80 deg celcius under that heat shield ok?

 

It's a common problem on high heat bulbs like that but not on new fixtures. I would have opted for the LED version of those lights to eliminate the high heat problems with them.

I'm not sure what heat shield you are talking about. I just wirenut on new sockets with attached wiring.
I doubt black tape will hold up if it's in a high heat area.

 

I have converted most of my halogen lights to LED and couldn't be happier. I was having to replace heat damaged sockets and wiring every 5-8 years in addition to replacing bulbs. Since switching to LED I haven't had to do anything. Well worth the effort.