This question will resolve positively if, by January 1, 2100, there has been a period of at least 5 consecutive years in which the average global temperature in each year was at least 2.0 ˚C greater than the average global temperature in 1880.

(Note that 1880 isn't exactly pre-industrial, but earlier data is highly unreliable, and there should really not have been much warming by then.)

Data for resolution shall come from NASA, if possible. Note that the data in the link is normalised relative to the 1951-1980 baseline, on which 1880 stands at -0.2. Therefore, the critical value to look for with this specific NASA dataset will be 1.8 ˚C. It is likely, though, that the link will no longer be active in a few decades, so a different dataset may have to be used anyway.

The last possible set of 5 years to satisfy the requirement would be 2095-2099, so the last possible resolution date would be around mid-2100, in order to make sure that there are no uncertainties regarding the 2099 climate data