.Net: Move hybrid search tests to new projects and adopt updated software design. (microsoft#11339)

### Motivation and Context

Some of the mongodb tests are failing intermittently. Moving to new
design which has built in checks for making sure data is indexed before
running test.

microsoft#11311

### Description

Move hybrid search tests to new projects and adopt updated software
design.

### Contribution Checklist

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- [ ] The code builds clean without any errors or warnings
- [ ] The PR follows the [SK Contribution
Guidelines](https://github.com/microsoft/semantic-kernel/blob/main/CONTRIBUTING.md)
and the [pre-submission formatting
script](https://github.com/microsoft/semantic-kernel/blob/main/CONTRIBUTING.md#development-scripts)
raises no violations
- [ ] All unit tests pass, and I have added new tests where possible
- [ ] I didn't break anyone 😄

Author: westey-m