You just have to charge enough to get emissions down to the desired level.
If you use the money for a specific purpose, then you either need low carbon taxes to avoid radically altering the government’s role in the economy, or you are making a large bet that the government will spend the money well.
Having a large, long run carbon tax will do much to encourage the market to develop alternatives.
Then once it's in and working start researching better and more effective ways to use it. I don't think we have the luxury to hang around any more.
How to minimize the Tragedy of the commons effect? Where countries don't want to impact their economic growth because other countries won't impose such taxes, therefore some production will move there.
This was the point of the Paris Agreement.
[0] https://www.brookings.edu/wp-content/uploads/2018/07/TPC_201...