Simple redirect of host name only, keeping the paths and query params in the redirect the same

The following should do the job:

when HTTP_REQUEST {
    if { [HTTP::uri] starts_with "/authorize/" } {
        HTTP::redirect "https://xxx.baz.com[HTTP::uri]"
    }
}

[HTTP::uri] captures the entire URI path, ex.

/authorize/aaa/bbb/someFile.jsp?response_type=abc&client_id=def&scope=ghi&redirect_uri=jkl

HTTP::path] captures the URI without the querystring, ex.

/authorize/aaa/bbb/someFile.jsp

 [HTTP::query] captures just the querystring, ex.

response_type=abc&client_id=def&scope=ghi&redirect_uri=jkl