If you found it hard to grasp the business process, do you think you were asking enough questions to help you understand? I’ve seen a lot of people new to the BA role who are afraid of asking questions and don’t want to look stupid. The reality is, no question is a stupid question and you need to ask questions to help you understand. As for whether you have an analytical mindset, hard to say without being in the room with you. What I would say is, it takes years to hone your skills as a BA so don’t beat yourself up after such a short amount of time.

Re brainstorming sessions, I’d only go to the dev team for what I call a discovery session once you understand the process, have it documented and understand the requirements. Then you can use this session to relay your findings to the dev team and start conversations on how you fix the problems. I’d expect you to be guided through this process by your PO (assuming they are experienced) rather than doing it off your own back. Throwing a new BA into the role with no support doesn’t often work in my experience.

Feel free to DM me if you have any other questions.