Ignore all files with the same name in git
From git docs
A leading "**" followed by a slash means match in all directories. For
example, "**/foo" matches file or directory "foo" anywhere, the same
as pattern "foo". "**/foo/bar" matches file or directory "bar"
anywhere that is directly under directory "foo".
For your case:
**/[Tt]est*
it also matches both upper and lower case.
Update .gitignore with test*
Also, read this for more information.
Try adding the pattern to .gitignore of test.*
Add it and do a git status with some files like you mentioned above.
If it works you're good.