Is your feature request related to a problem? Please describe.
On the Universal Profiling plugin, we want to enable the user to navigate from the Functions page to the Flamegraph page filtering/highlighting a specific function in the flamegraph.

Describe the solution you'd like
I would like a way to manually set the Search string field. I think if we expose another function in the controlProviderCallback would be enough.

Describe alternatives you've considered
N/A

Additional context
N/A

Kibana Cross Issues
https://github.com/elastic/prodfiler/issues/3126

Kibana target version
8.9