Hi @Aloe Z ,
this is not dependet on whether or not you are an Admin on the system, it is just how the behavior is by design - cmd (and also other programs) start by default in a non-admin mode, but can also be started as an Admministrator. I personaly always use the "Ctril + Shift + Enter" to start it directly as an admin, but this is not what you are looking for. I think this will help you achieve your goal:
How To Open Command Prompt Always In Administrative Mode
https://thegeekpage.com/how-to-open-command-prompt-always-in-administrative-mode/#:~:text=Type%20cmd%20in%20the%20search%20bar%20of%20windows%20and%20click,be%20opened%20in%20admin%20mode.
The article shows different methods of achieving this, but the most suitable would be Method 2 - settings up the "RUNASADMIN" key.
I hope I could help you out!
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Regards
Stoyan Chalakov