Internal foil antenna repair questions?

[DeLorean00]

I'm working on restoring a 1950 Mercury 106 chassis combo TV/Radio/Phono. The internal antenna has a foil covering that is falling apart and I am missing some pieces. I would like to repair this and even if it is not perfect it would be nice for it to work again.

I've considered using foil tape but I am really not sure how that would work as an antenna or even just as a patch. Does anyone have any opinions on this on how I might go about fixing it? I do have the back to this TV so it will be at least not visible when finished.