remove FEATURE-branch-provider-functions project from TeamCity folder

[BBBmau]

This PR is meant to be merged once #10288 is merged into main.

This addresses the project that was added here #10088

Release Note Template for Downstream PRs (will be copied)

[modular-magician]

Hi there, I'm the Modular magician. I've detected the following information about your changes:

Diff report

Your PR generated some diffs in downstreams - here they are.

google provider: Diff ( 3 files changed, 5 insertions(+), 106 deletions(-))

[SarahFrench]

Despite the problems using TF 1.8.0 in TeamCity I think we're still ok to go ahead with removing these resources. If we want to test the provider-defined functions in TeamCity we can run custom builds with TF 1.8.0.