Very normal to feel a bit lost and out of your depth in the first few months or year at a new company - especially a larger one.
Your "carve out some work that needs to be done for myself" quote made me wonder though - what is your team setup? Do you have a project manager or anyone guiding you on what you need to work on? Or team members to ask questions?
Usually it's best to focus on the tasks that they expect you to do and provide them with regular feedback to keep them in the loop of your progress. If anyone else thought you need to be fired, you would've known by now.
It's a very untraditional project. No tickets, no sprints, no milestones, no retros, no ownership. It's a greenfield project and the bosses have decided to do things an untraditional way. Maybe it works? It's made it pretty difficult for me so far though so I wondered if I'm just a bad culture fit. I knew about it going in and was willing to try it.
Without knowing more I would say that if you want to stay at this organization start making friends throughout the org. It’s not typically very functional to not have bosses or ownership.
The structure and lack of direction of your group makes me worry your group may not be long for this world. You may be in a weird corner of the company.
Your "carve out some work that needs to be done for myself" quote made me wonder though - what is your team setup? Do you have a project manager or anyone guiding you on what you need to work on? Or team members to ask questions?
Usually it's best to focus on the tasks that they expect you to do and provide them with regular feedback to keep them in the loop of your progress. If anyone else thought you need to be fired, you would've known by now.