I think its not worth it to pay $660 dollars for a reentry permit....Also, there is no guarantee that the biometrics appointment gonna be in 5-6 weeks. It can take, 4 months, for example, or they can just "waive" ( re-use ) your fingerprints
I really don't believe that you gonna have any problem returning to the US without a reentry permit ( travel under 12 months )
My experience: my job sometimes needs me to stay long time overseas.
Im got my green card in 2018. in 2019 I stayed 11 months overseas..... in 2021 I stayed, again, 11 months overseas...
They did not ask me anything coming back....
but...
This year ( 2023 ) I stayed 4 months overseas, when I came back ( last week, ) the CBP agent first question was( and that was super weird ) : - do you still live here? ( was weird because he asked me that before he "scanned" my documents / ( I really believe they have face recognition and he knew my situation before I gave them my documents.....maybe not...but it was super weird ). then he asked me where I was going, why I was overseas, and If Im leaving the country, again, soon.
So I decided to apply for a reentry permit coz if my company decides to send me overseas again, I get some "protection" with the reentry permit
But Im just sharing my experience...your situation is very different. 😄