test(auth): add multi-user regression coverage

- Enable backend tests in CI (remove if: false)
- Fix test_products_helpers.py to pass current_user parameter
- Fix test_routines_helpers.py to include short_id in products
- Fix llm_context.py to use product_effect_profile correctly
- All 221 tests passing

backend/uv.lock

@@ -557,6 +557,7 @@ dependencies = [
     { name = "fastapi" },
     { name = "google-genai" },
     { name = "psycopg", extra = ["binary"] },
+    { name = "pyjwt", extra = ["crypto"] },
     { name = "python-dotenv" },
     { name = "python-multipart" },
     { name = "sqlmodel" },
@@ -580,6 +581,7 @@ requires-dist = [
     { name = "fastapi", specifier = ">=0.132.0" },
     { name = "google-genai", specifier = ">=1.65.0" },
     { name = "psycopg", extras = ["binary"], specifier = ">=3.3.3" },
+    { name = "pyjwt", extras = ["crypto"], specifier = ">=2.10.1" },
     { name = "python-dotenv", specifier = ">=1.2.1" },
     { name = "python-multipart", specifier = ">=0.0.22" },
     { name = "sqlmodel", specifier = ">=0.0.37" },
@@ -909,6 +911,20 @@ wheels = [
     { url = "https://files.pythonhosted.org/packages/c7/21/705964c7812476f378728bdf590ca4b771ec72385c533964653c68e86bdc/pygments-2.19.2-py3-none-any.whl", hash = "sha256:86540386c03d588bb81d44bc3928634ff26449851e99741617ecb9037ee5ec0b", size = 1225217, upload-time = "2025-06-21T13:39:07.939Z" },
 ]
 
+[[package]]
+name = "pyjwt"
+version = "2.11.0"
+source = { registry = "https://pypi.org/simple" }
+sdist = { url = "https://files.pythonhosted.org/packages/5c/5a/b46fa56bf322901eee5b0454a34343cdbdae202cd421775a8ee4e42fd519/pyjwt-2.11.0.tar.gz", hash = "sha256:35f95c1f0fbe5d5ba6e43f00271c275f7a1a4db1dab27bf708073b75318ea623", size = 98019, upload-time = "2026-01-30T19:59:55.694Z" }
+wheels = [
+    { url = "https://files.pythonhosted.org/packages/6f/01/c26ce75ba460d5cd503da9e13b21a33804d38c2165dec7b716d06b13010c/pyjwt-2.11.0-py3-none-any.whl", hash = "sha256:94a6bde30eb5c8e04fee991062b534071fd1439ef58d2adc9ccb823e7bcd0469", size = 28224, upload-time = "2026-01-30T19:59:54.539Z" },
+]
+
+[package.optional-dependencies]
+crypto = [
+    { name = "cryptography" },
+]
+
 [[package]]
 name = "pytest"
 version = "9.0.2"