In the United States (and maybe other places) SIDs have published Top Altitudes.
I did a quick search on what they mean, and apparently aircraft aren’t supposed to surpass this altitude until they’ve been permitted by ATC. However, I’ve never heard anybody do this on live, and I’m not sure if the tutorial mentions top altitudes at all (if they do please link them below). I also don’t hear anything concerning the top altitude when I occasionally tune into IRL ATC. I’m sure they do somehow, but I haven’t caught it.
Assuming departure ATC is online, and barring any altitude restrictions on the SID, should I be climbing to the top altitude initially, then requesting a further climb to my cruising altitude?