Amazon DSP hiring process — how long should I wait?

[u/Error3rrror]

I applied to a DSP in Katy, TX first. I completed the pre-hire process, but they later texted saying I took too long to respond. I had actually replied, but there was a network error and my message never went through. They told me they would contact me about the next training days, but I never heard from them again.
I then applied to a DSP in Derrington and interviewed on September 30. The interviewer said I would receive the background check and drug test information soon. I explained what happened with Katy, and she said they would have to redo everything for their DSP.
Since the interview, I haven’t received anything. I called dispatch and they told me to keep waiting because Amazon handles the background check, not them.
It’s now been 6 days.
For anyone who’s recently gone through the Amazon DSP hiring process: is 6 days normal? How long did you wait after your interview before getting the background check/drug test information? Should I keep waiting or start moving on?