Is it possible to change tomcat's 401 response?

Question

Java

You need to add some headers to the 401 error. Is it possible to do this somehow?
Tried with filter:

<filter>
        <filter-name>Filter</filter-name>
        <filter-class>com.example.filter.Filter</filter-class>
    </filter>
    <filter-mapping>
        <filter-name>Filter</filter-name>
        <url-pattern>/*</url-pattern>
    </filter-mapping>

but there is no recourse to him at all.
I am using BASIC authentication.

Answer 1

If I understand correctly, then in web.xml add

<error-page>
  <error-code>401</error-code>
  <location>/errors/401.jsp</location>
</error-page>

After that, everyone with 401 will try to be redirected to their page with an error, however, since they are not authorized, they will not get access, for this it is worth
adding to the jsp:

response.addHeader("WWW-Authenticate", "BASIC realm=\"YOUR-REALM\"");
response.setStatus(HttpServletResponse.SC_UNAUTHORIZED);

where the name for realm is the same as the one in web.xml