Client-side JS Code to Communicate with Flask Endpoint

[davidalami]

Is blocked by: #10 and #9

Is your feature request related to a problem? Please describe.
Users should be able to send their questions and receive responses without refreshing the page.

Describe the solution you'd like
Implement JS frontend functionality in the template to:

1. Listen for button clicks.
2. On button click, send an POST request with the user's question to /ask-chatgpt.
3. Update the UI with ChatGPT's response in the dedicated section.

Describe alternatives you've considered
A full-page reload could be considered but would degrade the user experience.

Additional context
N/A