[internal] Update GitHub Actions workflow files

.config/mise.test.toml

@@ -1,10 +1,6 @@
 # WARNING: This file is autogenerated - changes will be overwritten when regenerated by https://github.com/pulumi/ci-mgmt
 
-# Overrides for test workflows
-
-[env]
-# Acceptance (specifically providertest) tests require that PULUMI_HOME be the default
-PULUMI_HOME = "{{ env.HOME }}/.pulumi"
+# Overrides tool versions for test workflows
 
 [tools]
 # always use pulumi latest for tests

.config/mise.toml

@@ -3,7 +3,6 @@
 
 [env]
 _.source = "{{config_root}}/scripts/get-versions.sh"
-PULUMI_HOME = "{{config_root}}/.pulumi"
 
 [tools]