pywinauto automation of jump server login in putty is not behaving same as manual jump server login in putty

I manually login to one of my Application GUI consoles(https://localhost:port) hosted on a server on the enterprise internal network, through a jump server. These are the exact steps:

1. Open putty
2. ssh(port 22) to the jumpserverhost.domain.com(this is a linux server)
3. Enter user, and passcode(RSA token)
4. Ensure the putty session window is alive/open
5. Now open browser and open the Application console - https://localhost:port
   NOTE: "We don't use the direct server IP, we use localhost ip-127.0.0.1 and the port on which the application GUI is running"
6. Enter Application GUI user/password and do your work on the Application

My requirement is to automate the above steps for login to my Application GUI Login. This is what I have done

a. Use a pywinauto script to automate the exact human steps from steps 1-4 above

Please check my answer to how to pass variable in pywinauto.Application().start(cmd_line='') for the script I am using for the task.

Even though my pywinauto script is working just fine and logging in to the jump server via putty, I am not able to connect to the application GUI, see image below.

But every time I login to the jump server manually using steps 1-4 above, the application GUI login page opens on https://127.0.0.1:. See image below

Why is it changing behavior via automated script ?

I have also checked many articles which suggest to automate ssh connections through paramiko , will it work in this case ? (considering the ssh connection to the jump server needs to be alive till the time I'm connected to the Application GUI )

My knowledge of how jump servers work is very shallow, please help.

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