The amazing thing about beating your head against the wall is that sometimes, against all odds, your head manages to break through the wall. I know this must be incredibly frustrating and discouraging for you, but you just don't know what is possible unless you keep on trying. It may be that you're not going to get an increase in supply. But 4 weeks is still early days and it's impossible to say what might happen if you keep at it a little longer. We can't make any promises. But we can say that the 10 ml you are producing is an amazing gift that you are giving to your child and we are all so proud of and amazed by the work you have done to make it happen.
One thing that could be in the mix here is that you had so much bleeding associated with your baby's birth. I have read that when there's a large volume of blood loss, it can prevent the body from circulating hormonal messages simply because there is so much less blood available to carry those hormones. Maybe give yourself time to make some new blood and get that going before you call it a day with the pump?