Is it possible to define project makefile name?

Overview

A premake5.lua file containing the following:

solution "test_solution"
    location "."
project "test_project"
    location "make"

When run with premake5 gmake it creates this file structure:

- premake5.lua
- Makefile
- make
    - Makefile

and I'm wondering how I can make it look like this instead:

- premake5.lua
- Makefile
- make
    - test_project.make

I like being able to simply run premake5 gmake; make; but I also prefer it if the project's own make file name is explicit.

Details

When working with a gmake solution, if location is set at the solution scope, the resulting files will look like this (assuming two projects):

- SOLUTION_LOCATION_DIR
    - Makefile
    - PROJECT1_NAME.make
    - PROJECT2_NAME.make

Where each project's makefile has been renamed due to name ambiguity.

When defining the location at the solution scope, as well as each project scope, the files will look like:

- SOLUTION_LOCATION_DIR
    - Makefile
- PROJECT1_LOCATION_DIR
    - Makefile
- PROJECT2_LOCATION_DIR
    - Makefile

Where, since there is no name ambiguity, the make files use the default naming convention. However I'd like to have the option of nonetheless having the name of the project make files correspond to the name of their project.

Is there a way to force the basic naming behavior, despite there not being any naming ambiguity, or at least manually define the make file name?

Start by tracing the gmake generation invoked by premake5 gmake, focusing on how solution and project location values affect the generated Makefile and project .make names. Compare the two directory layouts described in the issue and define the expected naming behavior for an explicit project makefile name.