Implement same dependency/release update workflow as WarpX

[EZoni]

Requested by @ax3l on Slack (to be used in #378):

Do you mind adding the Tools/Release/update_dependencies.py script (simply in /) to pyAMReX, too? Do not need the other automations for now.

WarpX references:

• Tools: simplify workflows for commit, version updates BLAST-WarpX/warpx#5965
• CMake: Fix Superbuilds BLAST-WarpX/warpx#5993
• Tools: improve automated dependencies update BLAST-WarpX/warpx#6038

To-do:

• AMReX
• pybind11

[EZoni]

Down the road it would be nice if we found a way to make this a BLAST-level module, since a lot of code is shared with the WarpX script.

[ax3l]

I think we need to include dependencies.json in MANIFEST.in, otherwise PyPI source packages (uncompiled) will lack the file and CMake builds from pip source packages will fail.

[ax3l]

I'll add it and post a fix to WarpX, too

[ax3l]

Thank you! :)