The American LAC we can sort of guess what type of school it is, even though we cannot guess which one. There are quite a large number of them. Knowing which one would help, but at least to me does not seem to be entirely necessary to give relevant advice.
However, universities abroad vary quite a bit. There is a lot of “abroad” in the world. I think that it would be very helpful for us, if we want to give accurate advice, to know which university.
I have a daughter who just graduated “semi-abroad”, from a small university in Canada. Generally it was a very positive experience. She got a great education and had very good research opportunities (COVID did not help, but would have been just as much of a factor in the US). Compared to universities in the US, she got more courses in her major and fewer outside her major. I think that living outside the US for four years gives her a broader perspective on the world.
One issue with studying abroad for a full four years is that when you graduate your friends are all abroad. If you are going to get a job, you end up with a choice between working abroad, or leaving your friends behind. The two downsides of getting a job abroad is that there are in many fields more jobs available in the US, and if you do live abroad as an American you still need to file US tax returns. This is particularly unfortunate in that saving for retirement or purchasing a home while living abroad can run into serious US tax consequences. The US is the only major country in the world that does this to its citizens who live abroad.
In spite of all of this, I do think that going abroad for four years is a great opportunity and will help to open up your perspective on the world. I have certainly enjoyed getting to know many people from many countries in many parts of the world over my career, and this will be a start on that process.