Adapting swich-case indentation

Is there a way to bend Vim to my will in indenting C switch-case statements 
with local scopes delimited by braces.  Here's what I mean: (Vim 9.1 on 
MacOS (M2 chip and Intel x86-64)  
int main() {
    int n = 42;
    switch (n) {
        case 42: {
            int twice = 2*n;
        }        
    }
}

The above example illustrates what I want:.  But when I visual-select those 
lines and press =. I get this:
int main() {
    int n = 42;
    switch (n) {
        case 42: {
                     int twice = 2*n;
                 }
    }

The compiler insists on the braces because of that local int twice 
variable;   putting the opening brace of the case: on its own line helps, 
but then I have a deviation from my preferred style.  

Please note that this example is contrived to illustrate the problem, not 
an excerpt from  an actual program..

Am I just finally asking too much of Vim?

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