Positive test 3 weeks after misscarriage

Hi ladies need some advice suffered my second loss at 12 weeks baby only made it to 6 weeks, a month ago. Doctors said to test in 3 weeks for a negative. I tested and it was a faint positive. Is this a new pregnancy or residual hormones from the old pregnancy. Will test again in a week. I know that with a mc it can takes a while for levels to drop but I’m secretly hoping it’s a new pregnancy!!!