The configuration file code grew quite big and intermingles both actual
configuration logic as well as the parsing logic of the configuration
syntax. This makes it hard to refactor the parsing logic on its own and
convert it to make use of our new parsing context module.

Refactor the code and split it up into two parts. The config file code
will only handle actual handling of configuration files, includes and
writing new files. The newly created config parser module is then only
responsible for parsing the actual contents of a configuration file,
leaving everything else to callbacks provided to its provided function
`git_config_parse`.