H1B/H4 Extension Stamping 4 months before extension date


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.

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.