The car apparently also has an electric engine. Did tata actually say the car ran on compressed air for the range specified in TFA, or is it just TFAA bullshitting?

Because AFAIK the effective energy density of CAES (Compressed Air Energy Storage) is 40~100kJ/kg depending on the tank material, with variable pressure. The upper range is roughly that of a standard lead-acid battery (except the battery has roughly constant voltage) and it gets completely blown away by e.g. li-ion (360~900kJ/kg)

worse than that, 'charge-discharge' efficiency is terrible compared to any kind of battery. it won't save any energy vs conventional car as measured in well-to-wheel efficiency.

Yes absolutely, I wasn't putting that in because the case was damning enough without involving the energy loss in charging the thing.

Though the comments suggesting the electric engine is a compressor to "refill" the bottles on the go could need that reality check.

So what if it's Tata? They may be a huge, well-known multinational, but the laws of thermodynamics apply to them too.