Nginx子域重写：无限重定向循环

Question

我将nginx用作站点微服务的反向代理，并使用docker进行了部署。我正在更新nginx.config文件，以将对子域的请求（先前的客户端要求）发送到路径。我想将tool.example.com发送到example.com/tool。

但是，问题是tool.example.com重定向到example.com/tool/tool/tool/tool/tool/tool/tool/tool/tool/tool/tool，这不是很有用。

这是我的配置：

    # handle HTTP requests for the old tool.example.com
    server {
       server_name tool.example.com;
        listen 80;
        listen [::]:80;
        rewrite ^ http://example.com/tool permanent;
    }


    # handle HTTPS requests for the old tool.example.com
    server {
        server_name tool.example.com;
        listen 443 ssl http2;
        listen [::]:443 ssl http2;
        rewrite ^ https://example.com/tool permanent;
    }

    # send HTTP requests for example.com to HTTPS
    server {
       listen         80;
       listen    [::]:80;
       server_name    example.com;
       return         301 https://example.com$request_uri;
    }
    
    # handle HTTPS requests for example.com
    server {
        listen                 443 ssl http2;
        listen                 [::]:443 ssl http2;
        server_name            example.com;
        keepalive_requests     500;
        keepalive_timeout      70;
        proxy_intercept_errors on;
        error_page             400 404 502      /errors/error.html;

        location /tool {
            proxy_pass         http://tool_servers/;
            proxy_redirect     off;                                                                                                          
            proxy_set_header   Host host;                                                                                                          
            proxy_set_header   X-Real-IP $remote_addr;
            proxy_set_header   X-Forwarded-For $proxy_add_x_forwarded_for;
            proxy_set_header   X-Forwarded-Host $server_name;
            client_max_body_size 50M;
        }
    }

我看不到配置中的什么导致nginx不断追加/tool，直到达到重定向限制为止，但是显然有不对的地方。我在做什么错了？