The key takeaways:
Both frameworks can do the job quite well for us. This might be true for the majority of utility web apps being built out there as well, so there was no "wrong" decision here.
Vue is often cited as easier to learn and code on. But only in case your engineers never worked with either Vue or React and start learning them from scratch. In our case, we knew we'll be hiring engineers who already have experience in the framework we'll select - so it was not a big argument for Vue.
We're building our engineering team in Ukraine and realised we have 3(!) times more engineers with React experience on the market than having Vue experience.
Mobile - React Native, despite being a different framework, still shares a lot with React and it's just easier for React developers to start using React Native in days.
The strongest points for our decision:
React community is larger, means more/faster answers to your questions and existing components.
Way more experienced React engineers on the market.
React + React Native is a great combo if you're building web and mobile clients of the same app.