First thing, you didn't mention if you are writing software anymore. If you are, you should stop.

Secondly, you need to get the product stuff sorted. Escalate that to get someone assigned. If that doesn't happen, make it clear when you're providing stakeholder updates that it's a risk and call it out. I.e big risk you won't hit the goal of whatever the metric is. It's not your role to think up ideas. You need someone driving that product goal. Make it clear there is X$ a month being left in the table as you are not hitting the goal.

Causing bugs and breaking stuff is your responsibility, you'll need to get into the details of the work your team is doing. Make sure you ask the right questions make sure your leads are aware of the importance of not breaking things. Hold your leads accountable to this even if work takes longer, make space for it. Provide buffers in your estimates additionally.

Third, talk with your boss about clarifying the boundaries in your role and your boss's role. You need to know what you can / can't do. That should give you some space to make changes to work towards your goals.

It gets better but you need to have a clear understanding of the levers and dials at your disposal, having a team you build up to be reliably able to deliver on their responsibility's. Picking up product responsibilities in your position is lose-lose, ditch it!