fix(rename): second review pass on the package rename

- The post-task reclaim skip recognises the legacy application.* embed name,
  so query embeds queued by the previous release do not pay a full collect.
- The Azure compose file mounts host data on /app/{indexes,inputs,vectors},
  where the process actually reads and writes; it mounted /app/application/...
  before the rename and /app/docsgpt/... after it, and nothing wrote to either.
- The offline image check triggers on docsgpt/requirements*.txt again;
  dependabot's pip entry points at docsgpt/.
- install_hint() and its docstring name docsgpt/requirements-<extra>.txt;
  the test asserts the full path.
- application/vectors/ stays ignored: the compose files still mount it.
- The durability QA script quiets the docsgpt logger tree.
- Upgrade note: the three renamed source-sync entries start their timers
  from the upgrade.

scripts/qa/durability_e2e.py

@@ -83,12 +83,7 @@ UNIQUE = f"qa_e2e_{int(time.time())}_{uuid.uuid4().hex[:6]}"
 
 
 # Quiet noisy library loggers so the script's own output stays readable.
-for name in (
-    "application", "docsgpt.api", "docsgpt.storage",
-    "docsgpt.usage", "docsgpt.parser",
-    "docsgpt.api.user.reconciliation",
-):
-    logging.getLogger(name).setLevel(logging.ERROR)
+logging.getLogger("docsgpt").setLevel(logging.ERROR)
 
 
 # ---------------------------------------------------------------------------