Add search functionality to Prompt Suggestions section

Description

The Prompt Suggestions section in Conversation Pages currently lacks a search feature. As the number of suggestions grows, it becomes difficult to quickly find relevant prompts.

Proposed improvement

• Add a functional search bar within the Prompt Suggestions section.
• As soon as the user starts typing, the result container should dynamically appear.
• The results should be filtered in real time based on the entered keyword.
• The matching keyword should be visually highlighted within the result containers to improve visibility and speed of recognition.
• Add an "X" button at the right end of the search bar to quickly clear the entered text.

Expected behavior

• Typing in the search bar filters prompt suggestions immediately.
• Only relevant prompts are displayed.
• The searched term is highlighted inside the suggestion text.
• Clicking the "X" button clears the input field and resets the suggestion list.
• If no match is found, a clear "No results found" state should be displayed.

Why this matters

• Improves usability and efficiency when many prompts exist.
• Reduces scrolling and manual scanning.
• Enhances discoverability of existing prompt templates.
• Provides a standard, intuitive search UX pattern.
• Scales better as the number of suggestions increases.

Environment

• Feature: Prompt Suggestions (Sitebuilder)