Passport doesn't need an original, just an electronic version, and it doesn't matter if you don't sign it. Passport requirements are as follows:

Clear color scanning of the information page on the first page of passport.

Passport is intact, without damage or water stains.

Valid for at least 6 months after the end of the trip.

The blank of the passport indicates the exact date of the trip. Write down the information on blank paper and stick it on your passport. Don't modify it directly on your passport.

There are at least two complete and continuous blank pages, excluding the notes page.