feat: support bun

[thislight]

• I have read the contribution documentation for this project.
• I agree to follow the code of conduct that this project follows, as appropriate.
• The changes are appropriately documented (if applicable).
• The changes have sufficient test coverage (if applicable).
• The testsuite passes successfully on my local machine (if applicable).

This PR introduces changes to support bun as a package manager, depends on #3822.

There is should be noted that a test, originally uses bun as an example of unsupported package manger, is edited to use a fake name 'nosupppm' instead.

Closes #3906

[tifandotme]

up