Add `Advance` API to all types of caches

**Is your feature request related to a problem? Please describe.**
Yes, all timestamp and expiration related features are under-tested due to the flakiness nature.

**Describe the solution you'd like**
Add an `Advance` API, so we have full control over key expiration within tests.

**Describe alternatives you've considered**
N/A

**Additional context**
N/A
