WS,
We need to assess the ruling for both of those (staking and stable coin) individually and see how they apply for a specific coin.
Firstly, staking can be halal or haram depending on a number of things that have been covered in a post you can find on our halal crypto staking post. I suggest you have a read of that to better understand things.
Stable coins have been questionable since the collapse of Luna, but the general view for USDC specifically seems to be that it is considered halal. This opinion is from IFG, PIF and CH.
Hope this helps iA