How to organize double proxying?

Question

proxy

Hello. There is such a task.
There is a list of proxies (it is constantly changing and its number ranges from 100 to 200)
There is a server constantly connected to the network (let its IP address be 3.3.3.3 for clarity of the example below).
It is necessary that when accessing the server by port from a remote machine, the proxy serial number is taken from a text file and, accordingly, the connection passes through this proxy. That is, in fact, if everything is simplified, something like this should come out
Proxy list:
123.125.211.123:8010
45.123.123.123:8010
43.143.131.121:8010
We connect from a remote machine to the proxy port
3.3.3.3:5001 and we have a connection through 123.125.211.123:8010
respectively:
3.3.3.3:5002 -> 45.123.123.123:8010
3.3.3.3:5003 -> 43.143.131.121:8010