Actually, ever since Feng started using the more advanced Kedal metal blade, the value of this knife had significantly diminished. However, this knife was exquisite and carried sentimental value, which made Feng reluctant to part with it, so she simply carried both.
Now that Feng was willing to gift it away, it was clear she had made thorough mental preparations and resolved to undergo a profound transformation.
Although there were regulations at the headquarters stating that Advance Team weapons couldn't be gifted, rules were dead, and people were alive. Weapons not being around could easily be explained in many ways—losing them, for instance.
The Kedal metal blade didn't contain any particularly profound secrets, so giving it away was actually no problem at all.