Exact same thing happened to my 135i when the water pump broke. Your car was putting itself into limp mode.
A few days before my failure, I noticed a hesitation while on the freeway in 6th when I hit the gas. Then, while in the fast lane of the 5, I got the engine temp warning, and the car went into full limp mode. I thankfully there was minimal traffic, as I had to pull across 6+ lanes with the hazards on and no power. New water pump, thermostat and fresh coolant at the shop and I was on my way. I had around 32k miles at the time IIRC, so not far off from where you're at.
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2012 BMW 135i Space Grey Metallic M-Sport DCT Dinan S2
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