Looks like testing of Starship is nearly complete. Next test is hopefully static fire, provided cryo proof test was successful.
Booster 4 testing has not started, they must still be working out the details.
#^When is Starship's first Orbital Launch? | Live Updates
LIVE UPDATES leading up to the first orbital launch attempt with Booster 4 and Ship 20 from Starbase in South Texas, United States.
