Amazingly, I believe planes are designed/certified to do everything (e.g. take off fully loaded) with only a single working engine.
https://en.wikipedia.org/wiki/Gimli_Glider
> In 10 nautical miles (19 km; 12 mi) the aircraft lost 5,000 feet (1,500 m), giving a glide ratio of approximately 12:1 (dedicated glider planes reach ratios of 50:1 to 70:1).
> Air Canada Flight 143 came to a final stop on the ground 17 minutes after running out of fuel.
As they did shut down their perfectly well working engine instead of the broken one. Obviously that’s not improving your situation in any way.