B+B vs R endgame from Carlsen-Nakamura game

Looking at the final moves of Carlsen-Nakamura game from the 8th round of the Sinquefield Cup, I could not help but feel déjà vu, as a few years ago I had exactly the same endgame in a game in a German open! Thanks to some mistakes by my opponent I somehow managed to win it, but both over the board and in the post-game analysis I thought that objectively the weaker side should be able to hold this, regardless of what the computer engines say. Indeed, Nakamura did not seem to have any difficulties in defending it.

In any case, this is how the same endgame played out for me: