updated api paths

backend/api.py

@@ -75,7 +75,7 @@ def _client_config():
 @api.get("/oauth/google/start")
 def oauth_start():
     # optional CSRF protection
-    log.info("Starting Google OAuth flow")
+    log.info(f"OAuth start: redirect_uri={REDIRECT_URI}")
     state = secrets.token_urlsafe(16)
     flow = Flow.from_client_config(_client_config(), scopes=SCOPES, redirect_uri=REDIRECT_URI)
     auth_url, _ = flow.authorization_url(
@@ -89,6 +89,7 @@ def oauth_start():
 @api.get("/oauth/google/callback")
 def oauth_callback(request: Request):
     # Exchange code for tokens
+    log.info(f"OAuth callback hit: url={request.url}")
     full_url = str(request.url)  # includes ?code=...
     flow = Flow.from_client_config(_client_config(), scopes=SCOPES, redirect_uri=REDIRECT_URI)
     flow.fetch_token(authorization_response=full_url)
@@ -105,6 +106,14 @@ def health():
 def list_routes():
     return {"routes": sorted([getattr(r, "path", str(r)) for r in api.router.routes])}
 
+@api.get("/api/debug/oauth")
+def debug_oauth():
+    return {
+        "base_url_env": BASE_URL_RAW,
+        "base_url_effective": BASE_URL,
+        "redirect_uri_built": f"{BASE_URL}/oauth/google/callback"
+    }
+
 @api.get("/debug/env")
 def debug_env():
     return {