fix(auth): parse compound Better-Auth cookie/bearer token to extract token part

Better-Auth sets the session cookie as "token.sessionId". The DB stores
only the token part, so passing the full compound value caused 401s.

Splits on "." for both cookie and Bearer paths.

Tests added for compound cookie, raw token cookie (regression), and
compound Bearer token.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

tests/test_auth/test_auth_endpoints.py

@@ -71,6 +71,56 @@ async def test_delete_me(client, auth_headers):
     assert resp.status_code == 404
 
 
+@pytest.mark.asyncio
+async def test_get_me_compound_cookie(client, db_engine):
+    """Compound cookie value (token.sessionId) must be parsed to extract the token part."""
+    from tests.conftest import _create_test_user_and_session
+
+    _, session_token = await _create_test_user_and_session(
+        client, db_engine, email="compound@example.com", display_name="Compound User"
+    )
+    compound = f"{session_token}.B0atkJCFxK1rZlwWPMK97nVO2LnyDun7"
+    resp = await client.get(
+        "/auth/me",
+        headers={"Cookie": f"better-auth.session_token={compound}"},
+    )
+    assert resp.status_code == 200
+    assert resp.json()["email"] == "compound@example.com"
+
+
+@pytest.mark.asyncio
+async def test_get_me_raw_token_cookie(client, db_engine):
+    """Raw token (no dot) in cookie must still work — regression guard."""
+    from tests.conftest import _create_test_user_and_session
+
+    _, session_token = await _create_test_user_and_session(
+        client, db_engine, email="rawcookie@example.com", display_name="Raw Cookie User"
+    )
+    resp = await client.get(
+        "/auth/me",
+        headers={"Cookie": f"better-auth.session_token={session_token}"},
+    )
+    assert resp.status_code == 200
+    assert resp.json()["email"] == "rawcookie@example.com"
+
+
+@pytest.mark.asyncio
+async def test_get_me_compound_bearer(client, db_engine):
+    """Compound Bearer token (token.sessionId) must be parsed to extract the token part."""
+    from tests.conftest import _create_test_user_and_session
+
+    _, session_token = await _create_test_user_and_session(
+        client, db_engine, email="compoundbearer@example.com", display_name="Compound Bearer User"
+    )
+    compound = f"{session_token}.B0atkJCFxK1rZlwWPMK97nVO2LnyDun7"
+    resp = await client.get(
+        "/auth/me",
+        headers={"Authorization": f"Bearer {compound}"},
+    )
+    assert resp.status_code == 200
+    assert resp.json()["email"] == "compoundbearer@example.com"
+
+
 @pytest.mark.asyncio
 async def test_expired_session_rejected(client, db_engine):
     """Expired sessions must be rejected."""