You can pass the parameters as dynamic content in the parameters value option. After creating the parameters, in the parameter value, click on Add dynamic content and you can add the dynamic expressions here.

Here, for sample I am passing the string and integer variables from ADF pipeline to the stored procedure parameters.

Execute the pipeline and you can check whether the values of these expressions passing correct to the parameters or not in the input section of the copy activity run details.

UPDATE:

As your input parameter names are values are coming as a JSON from an activity, you can directly use the below dynamic expression.

@json(replace(string(pipeline().parameters.json),'''',''))

As I don’t have any activity returning the JSON, I have stored the JSON object in a pipeline parameter json of object type and used it in the above dynamic expression. Instead of parameter, you can use your activity output which gives the required JSON object. Here, this expression converts the JSON object into a string and replaces the single quotes(') inside the string value with an empty space. After that, it converts the result string to JSON again which is the required JSON for passing parameters.

Copy activity input: