How to temporarily leave fakeroot environment

To run some tests, I want to revoke write permissions for a folder. This is a minimal example:

$ mkdir test
$ chmod a-w test
$ touch test/test || printf '%s\n' "write permissions successfully revoked"
touch: cannot touch 'test/test': Permission denied
write permissions successfully revoked

However, if I run it with fakeroot, this doesn't work:

$ fakeroot sh  
# mkdir test
# chmod a-w test
# touch test/test || printf '%s\n' "write permissions successfully revoked"
# ls test
test

For an explanation **why** this doesn't work, see this question, for example: https://unix.stackexchange.com/questions/538045/issue-with-changing-permissions/538051 However, my question is: how can I get around this? Can I temporarily disable fakeroot for the chmod command? Or can I make fakeroot permission changes permanent anyway?