Hi there @Awaism!
Don here from Shopify.
I checked in with our technical team internally to see if there would be any way for you to edit the Shopify logo in your admin.
However, they confirmed that it would not be possible to edit the core Shopify admin in this or any other way.
Could you let us know a bit more about why you wanted to be able to do this, so we can see if there is anything at all we can advise here?
Do you know what your next project is in terms of your store?