React BrowserRouter refreshes page when using Link

I am trying to get Laravel to work properly with react router. Sadly when using BrowserRouter and Link, the page makes a full refresh (instead of using browser history). If I switch to using HashRouter, it works as expected, but I really wan't to use the BrowserRouter.

Any hints as to how I should get it working properly?

My web route

Route::view('/{path?}', 'index')
    ->where('path', '.*')
    ->name('react');

I am using docker with nginx for webserver