I had a very similar bug, where in Bo1 historic they had the same infinite combo out and I had 3 Serra's Emissaries on Creature. With my opponent likely having no outs to 3 Emissaries in their deck and less cards in the library, I seemed likely to be the winner of this match in paper, since his infinite life would not really matter. On arena though he kept executing his combo every turn he had the opportunity to for as long as the rope would allow. Eventually, after solid 30-40 minutes of me letting him play it out (and just attacking with all and passing on my turn) his timer ran out again, but this time it would count down my rope and timer while still in his turn and I had passed priority with no interaction up. The game would then finish my rope and multiple timeouts stored and make me explode and lose the game while he was still resolving his lifegain combo. Happened on version 2022.13.10.4008.913722 on February 17th 23:45 UCT.