feat: Create barebones `/profile` page for authenticated user

[ryanpolasky]

Description

Create a minimal profile page for the logged-in user. This page fetches data from /api/auth/me and displays their personal info. Styling and design polish will come later from the design team (@Frabina27 & Chris).

Goal

• Page is accessible at /profile for authenticated users only.
• On load, fetches data from /api/auth/me.
• Displays:
  -- name / username
  -- email
  -- profile_picture (show placeholder if missing)
  -- survey_completed status (might not keep this long term, but good to have for dev rn)
• Handles loading and error states gracefully.
• Updates data correctly if backend changes (i.e. new profile picture).

Notes

• Styling/layout isn’t important right now, focus on displaying correct data until design team finalizes.
• Log errors to console if fetch fails.
• Code should be modular to plug in design updates later.
• You'll likely need to check with @PyDev19 for the exact field names you expect from the backend/he sends from the backend. Hooray teamwork! 🥳