Question: Time to get TSA PreCheck approved when applying for Global Entry (first time applicants):

For background: My "young adult kids" are considering applying for Global Entry for the first time and I'm helping them navigate the process. They will predominantly use TSA Precheck, but will apply for Global Entry since it's only a few dollars more. While they will certainly use TSA Precheck in the near future, they're not sure when they would need Global Entry. I've had Global Entry since 2003 so I'm a little out of the loop on the current process!

The question: When does one get TSA Precheck approved when applying for Global Entry? My concern is that if you don't get TSA Precheck until Global Entry is approved, and if there is a long delay in getting Global Entry then they would miss having TSA Precheck for upcoming flights. By any chance are the separate tracks for approval for both systems (i.e., could TSA Precheck approval happen faster than Global Entry)?

Thanks to all!