So buddy why don't you prefer the CBDC's. I don't think its important to stabilize the Bitcoin valuation for the wider use of this as a payment mode.
Stability has nothing to do with Bitcoin as a payment mode, we aren't currently using Bitcoin as a payment mode, Volatility is the beauty of the market which is leading this market towards extraordinary growth in a short time span. 1BTC = 1BTC how much more stability do you need? The unit satoshi can be taken into account to fix the prices of the various products regardless of their fiat conversion.
Most of the people are here to make profits and these profits come through volatility and risk, Most of them will exit of it becomes more stable and according to the demand and supply in the market, BTC is eventually leading its journey toward stability where the even distribution of the total supply help to achieve.