Hello. I’ll try helping but this might require some steps.
Test #1:
Please, before anything, follow @Queue’s suggestion. I’d recommend trying the 186893 first, so the game will try to download the 187272 file.
Possible results after trying that:
A) The client will download the last updates just fine (means your connection is fine for downloading the next patches). And the Client will run just fine and won’t have any problems (means everything’s ok, you’re good).
B) The client will download the last updates just fine. If there’s any errors in-game try verifying the steam cache again and reporting here if it worked or not.
C) The client will still fail to download the last updates. Means there’s a problem in your connection and we’ll figure out how to fix it.
Doing @Queue’s suggestion and checking the results I sent here should cover all possible cases for now.
Please let us know us know the results so we can continue helping and get everything to run ok o/