Re-Glue the skin


Hello together!

I´m pretty new to Shamisen and Bachido but I already noticed how nice and kind this wonderful community is! So, short introduction to myself:
My name is David, 28 years old from Germany and recently got my first (Nagauta-) Shamisen which I bought in a used condition on eBay. I´m satisfied with the feel and sound of it, also I built my own Bachi already.

The problem: I noticed the skin has a loose part and I asked myself if its possible to reglue it with hide-glue (?) without causing the skin to completely fall apart - does anyone has already some experience with this problem?
Maybe its not even necessary to fix it but I think it´s not a bad idea to prevent it from getting worse over time.

Thanks already for reading!

Greetings, David