The only packing is for the low speed needle. It is part no. 41-275, and I don’t see it on Garry’s carburetor diagram probably because it is separate from the carburetor body. I don’t have my parts manual with me, but it maybe shown on the power head diagram.
The original packing is very durable, but if you want to replace it, some of the vintage parts sellers in the club have this part. I got mine from Ed Elliot.
Edit: After looking at the "Powerhead and Carburetor Parts Diagram" on my computer instead of my phone, I do see the 41-275 part. It can be seen at the upper right of the parts diagram.