Sunan-e-Muakkadah

Performing the four sunnats of jumuah before zawaal in the Haramain

Q: The first Adhaan for Jumuah Salaah in both the Haramain Sharifain is given well before Zawaal sets in. Can one perform the Four Sunnats of Jumuah after the first Adhaan is given i.e. before the time of Zawaal?

The second Adhaan is given exactly when the Dhuhr time sets in and the Khutbah commences immediately thereafter. There is no time to perform the sunnats after the second Adhaan as the khutbah commences immediately, and if one stands up to perform his sunnats, he will be performing his sunnats while the Khutbah is being delivered. Should one rather perform these four sunnats after completing the Jumuah Salaah?