That’s some pretty messed up issue with Steam first starting the game, then the game starting EA Origin and ending itself and afterwards Origin launching the game again. Not much that can be done. Similar Steam/Origin issues occur with other EA games (e.g. Mass Effect 2).
Get the Origin edition at a sale, it works just fine. Steam edition needs to be uninstalled or the start process will get even more convoluted.
Alternatively get the GOG version which comes without DRM and avoids all such problems altogether.
For Ubisoft/EA games it’s generally best to buy them directly in their respective storefronts to avoid any potential issues due to the double-DRM.
The official cloud profile has been updated and should work again with the Steam version. The user profile you used is rather old, it probably makes sense to use the official one due to a couple of fixes that were done since then.