I don’t think any weather service actually gives wet bulb temperature but it is supposed to be calculable. (Via Ugly Math.)
It’s a better measure (I think) of “when should I consider exercising today?” than the various “feels like” temperatures the weather services do provide; if it’s 35 C wet bulb, no, do not exercise, and the closer to that one gets the less of a good idea exercise would be.
Being able to add a readout value or a graph line for wet bulb would be very welcome.