@MojangSupport I still have yet to receive My vanilla cape and the dead line is today my account is Amelzo on java and my xbox name is alex1233112332 both these accounts are on the same microsoft account way before june 6th see these screen shots for proof, have a nice day

It may take two weeks for the capes to get to you if you're eligible! Keep an eye on your dressing room and skin customization menu. Thank you for your patience in the meantime! You can check out our FAQ here for updates: bit.ly/3TtwrH4

2 more weeks from now? It was going to take a month before this - "We will begin rolling out the vanilla cape to eligible players on Wednesday, August 31st. However, it may take up to a month for the cape to appear in your account"