1. Unpack the package
Ref: https://unix.stackexchange.com/questions/138188/easily-unpack-deb-edit-postinst-and-repack-deb
Create a new directory (e.g., tmp) alongside the deb package:
mkdir tmp
Extract the deb package into the new directory:
sudo dpkg-deb -R original.deb tmp
2. Edit the dependencies
Ref: https://coderwall.com/p/hes3ha/change-the-dependencies-of-a-deb-package
Navigate to tmp/DEBIAN/ and edit the file named control using a text editor
3. Repack the package
Ref: https://unix.stackexchange.com/questions/138188/easily-unpack-deb-edit-postinst-and-repack-deb
Pack tmp back to a deb package by running the following:
sudo dpkg-deb -b tmp fixed.deb
Change the owner of the new deb package:
Ref: https://docs.oracle.com/cd/E19683-01/816-4883/6mb2joat0/index.html
sudo chown new-owner fixed.deb
Additional notes
As per the references, it is possible to avoid the new directory and deb package being owned by the root user by running the whole sequence (steps 1 through 3) under fakeroot.
Another possible approach is to take advantage of the fact that deb packages are in the standard format of ar archives and extract/pack the package using ar instead of dpkg-deb.