Allow prefixing all make log messages

I have a wrapper that parses all make output. I am trying to create a log of make in this format:

`{cmd: 'echo "foo"', output: '"foo"'}`

The ##>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> lines are easy to parse out.

But when using --debug=verbose or --print-directory there are a lot of these message interspersed:

Reading makefiles...
remake: Entering directory '/Users/Vaughan/dev/fork/+bun/bun'
Updating makefiles...
Updating goal targets...
 File 'vendor' does not exist.
   File 'require' does not exist.
  Must remake target 'require'.
Makefile:603: target 'require' does not exist

I would like every line from the make debug messages to be prefixed with [make] for easier parsing.

[make] Reading makefiles...
[make] remake: Entering directory '/Users/Vaughan/dev/fork/+bun/bun'
[make] Updating makefiles...
[make] Updating goal targets...
[make]  File 'vendor' does not exist.
[make]    File 'require' does not exist.
[make]   Must remake target 'require'.
[make] Makefile:603: target 'require' does not exist

Start by tracing the debug-output paths used by --debug=verbose and --print-directory, along with the existing make log formatting. Reproduce the sample output and verify that every debug line receives the requested [make] prefix without changing the command output; the issue mentions no specific files or tests.