How to manage exceptions thrown in filters in Spring?

So this is what I did:

I read the basics about filters here and I figured out that I need to create a custom filter that will be first in the filter chain and will have a try catch to catch all runtime exceptions that might occur there. Then i need to create the json manually and put it in the response.

So here is my custom filter:

public class ExceptionHandlerFilter extends OncePerRequestFilter {

    @Override
    public void doFilterInternal(HttpServletRequest request, HttpServletResponse response, FilterChain filterChain) throws ServletException, IOException {
        try {
            filterChain.doFilter(request, response);
        } catch (RuntimeException e) {

            // custom error response class used across my project
            ErrorResponse errorResponse = new ErrorResponse(e);

            response.setStatus(HttpStatus.INTERNAL_SERVER_ERROR.value());
            response.getWriter().write(convertObjectToJson(errorResponse));
    }
}

    public String convertObjectToJson(Object object) throws JsonProcessingException {
        if (object == null) {
            return null;
        }
        ObjectMapper mapper = new ObjectMapper();
        return mapper.writeValueAsString(object);
    }
}

And then i added it in the web.xml before the CorsFilter. And it works!

<filter> 
    <filter-name>exceptionHandlerFilter</filter-name> 
    <filter-class>xx.xxxxxx.xxxxx.api.controllers.filters.ExceptionHandlerFilter</filter-class> 
</filter> 


<filter-mapping> 
    <filter-name>exceptionHandlerFilter</filter-name> 
    <url-pattern>/*</url-pattern> 
</filter-mapping> 

<filter> 
    <filter-name>CorsFilter</filter-name> 
    <filter-class>org.springframework.web.filter.DelegatingFilterProxy</filter-class> 
</filter> 

<filter-mapping>
    <filter-name>CorsFilter</filter-name>
    <url-pattern>/*</url-pattern>
</filter-mapping>