H1B/H4 Extension Stamping 4 months before extension date

Hello,

We have our current visa stamped till May 2024. Recently our H1B/H4 Extension was filed by the employer and we received new i797 from May 2024 to May 2027.
We booked a date for stamping in January 2024, but that is more than the 90 days mentioned on the UStraveldocs website.
https://www.ustraveldocs.com/in/en/general-information#faqs

So, now we are wondering if we will have issues during the dropbox in January.
The sole purpose of stamping despite having a valid visa till May 2024 is the freedom to travel internationally after May 2024 and not having to worry about stamping.

Did anyone go through a similar situation? What was your experience?

Thank you.