Where in the lab alert does it say that testing for just covid is banned?

you're not understanding. the original EUA is for demuxed tests. the EUA is being withdrawn, and the CDC is requiring multiplexed tests moving forward. it's what multiplexing means in this context. it's literally the definition.

"go and purchase private manufactured covid tests".

no, the issue was never about whether they were publicly or privately manufactured. it's whether they're multiplexed or not.

Also, do you have any evidence that the tests that were put out by the CDC and that are being discontinued came back positive if you had influenza but not covid?

again, it's literally the definition of multiplexing. what is being multiplexed? the input signal. if the new tests are required to be multiplexed, it's because the prior tests weren't. so what were they combining?

we already know practically anyone with any cold symptoms was being labeled as a covid death even without a positive test. look up any source for flu deaths in the 2020 winter or 2021 winter, and it's virtually zero. we didn't magically eradicate flu. we just started counting flu as covid.