TF-98 Add Task Search Input

[BitoviAI]

Implement the work described in Jira ticket TF-98, including looking at any Figma files mentioned. When finished, transition the ticket to "In Reivew".

To do the work use the following prompt chain which describes steps for best implementing the feature:

1. Open the repository on GitHub: https://github.com/bitovi/ai-enablement-prompts.
2. Execute the prompt writing-code/generate-feature/generate-feature.md