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##JavaScript (ES6), 100 95 bytes

(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

This is a valid JavaScript Lambda function. Outputs as function return. Takes in three arguments (a,b,c). Add f= at the beginning and invoke like f(arg1,arg2,arg3).

f=(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

console.log(f(prompt("Value for A"),prompt("Value for B"),prompt("Value for C")))

JavaScript (ES6), 100 95 bytes

(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

This is a valid JavaScript Lambda function. Outputs as function return. Takes in three arguments (a,b,c). Add f= at the beginning and invoke like f(arg1,arg2,arg3).

f=(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

console.log(f(prompt("Value for A"),prompt("Value for B"),prompt("Value for C")))

##JavaScript (ES6), 100 bytes

(a,b,c)=>{return a.split("").map((e)=>{for(var i=0;i<b.length;i++)if(b[i]==e)return c[i];return e})}

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##JavaScript (ES6), 100 95 bytes

(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

This is a valid JavaScript Lambda function. Outputs as function return. Takes in three arguments (a,b,c). Add f= at the beginning and invoke like f(arg1,arg2,arg3).

f=(a,b,c)=>1?(t=[...a].map(e=>b[0]==e?(u=c[0],b=b.slice(1),c=c.slice(1),u):e).join``,b==""?t:a):a

console.log(f(prompt("Value for A"),prompt("Value for B"),prompt("Value for C")))

JavaScript (ES6), 100 bytes

(a,b,c)=>{return a.split("").map((e)=>{for(var i=0;i<b.length;i++)if(b[i]==e)return c[i];return e})}

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##JavaScript (ES6), 100 bytes

(a,b,c)=>{return a.split("").map((e)=>{for(var i=0;i<b.length;i++)if(b[i]==e)return c[i];return e})}

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