AI Engineer but want out, advise appreciated

Seeing a lot of 'tired of AI' posts so I thought I'd add to it, advise would be very much appreciated.

I'm based in the EU, in my early 30s. Currently working as an AI engineer with sole focus on GenAI. I have an education in social sciences, statistics & data science.

Was hired out of college to do a machine learning & analysis based project which I enjoyed, but when this finished the only work left was creating dashboards which I didn't enjoy.

Next job was machine learning focused, but I figured that the company was looking for someone to sell the concept of AI rather than actually create meaningful impact. So that wasn't a match.

Current job sounded exciting, a match of data science consultancy, training & fine-tuning algorithms, focus on analyzing data and productionizing algorithms which I hadn't done before. Reality is that I'm mainly creating solutions to call API's from large companies and format the data together. No training nor fine-tuning our own models because using their solutions is cheaper. Watching LLM's fail spectacularly at tasks some machine learning algorithms were trained to do for decades, but no, the former is deemed by management as easier. I'm feeling more like a software developer rather than an AI Engineer.

Recently our team has gone through some changes and we were joined by people who definitely talk the talk but have zero knowledge, making them hard to work with for me personally as I'm constantly explaining the inner workings of the models and why they do not always work the way we intend to.
Those that have a science background are defined to a new specialization of prompt engineering, but I feel like a massive idiot trying to instruct a shitty model to be a little less shitty.
Consultancy work was very little when I started, but has now dried up completely as management doesn't want us to spend time and resources in this.
Analysis is an afterthought and the testing of models is very questionable. I want to spend a lot more time on this and have repeatedly requested to do so, but the derailment of our entire system when a new version of a model is released causing it to be more shitty and needing a dedicated prompt engineer to fix this is more important.

Sorry for the rant, but I want out. And I'm hoping there are women here that can guide in my next step.

My work experience is in software companies active in public healthcare. I really enjoy this field, but am open to functions in the public sphere as well.

I want to go back to more data analysis and using machine learning & statistics to solve questions in a quantitative matter. No more GenAI, unless employer is interested in creating & training something in-house. I like consultancy, presenting and communicating with people but in a pragmatic manner. I'm also interested in the ethics of data and AI & it's impact on society.

I think a role in a public institution rather than a private company would be a better fit for me, but I don't really have a clear view of what is possible. I think a more research-based role would be a possible good fit, but I'm afraid my statistical tooling knowledge has become a bit dated at this point. Would it be enough to brush this up, how would I go about this?

I'm also looking at data analyst & data scientist roles, but many have a GenAI focus and I'm afraid I will be disappointed like my previous roles. I'm in this role a little over a year and I left my previous jobs around the same time-frame. I'm afraid I'll be viewed as an unreliable employee.

If you have any suggestions regarding positions, roles, or types of organizations I should look into, I would greatly appreciate it. Thank you enormously for your time!