H-1b dropbox appointment and visa stamping/i-797 and multiple petitions

The 90 days rule applies to the first time H1B, if I am not mistaken. Because you are already employed in the US, I dont think this applies to you.
You can use the new I-797 in DS-160 and add both current and new I-797s with other dropbox documents.

You may want to call VFS and ask them.

https://www.ustraveldocs.com/in/en/contact-us

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