So glad you got rid of the carpet while it gases off, very smart! And I LOVE the name Mango, one of my cats shares the same name! Awesome!
And let's see conure body language, well some of the same things can mean different things in different contexts so it takes a little time, and trial and error to learn what Mango means. I know with Sebastian that if he was pacing and chirping like that he would want to come out. I would wait until he quieted down first, and then let him out, (I remember you saying you're not there yet, which is totally okay! I would take that as an opportunity to engage and do some check point training). Also, for Sebastian, bobbing his head up and down is always an excited hey I love you and want to come out and be with you sign. He also gets really really fluffy when he's happy (including the top of his head) but if the top of the head is flat and the rest if puffy he's more agitated than happy. If she is like most other hand-raised conures she is going to end up completely attached to you. Sebastian loves to be with me all the time no matter what I'm doing! Just keep building up the trust and you'll see she's gonna fall in love with you and you'll be able to know what she needs. The other day, no lie, Sebastian was sitting on my knee taking a nap- he woke up and started chirping, getting louder and louder and finally flew to his cage and started full blown screeching! I was like what in the world are you trying to do! Then I thought oh my, maybe the TV was keeping him up and he wants to nap! So I put him in the cage, put his blanket on (because he screams without it) and turned off the TV, I waited and he did his signature Sebastian I'm falling asleep little noises, and then he was asleep! LOL! Ugh I love him. I can't wait for you to get there with Mango, you are so headed to that place where you both learn how to communicate with one another and it's so beautiful! Good job!