Stop the adapter report from claiming things that are not true

Independent review of the adapter resolution work found six defects, all
real and all fixed here.

A kind whose only candidates were rejected had no winning path, so its row
carried path=None and the rejected candidate fell into the shadow loop: the
report said "another adapter of this kind wins for the current mount" while
nothing won, and the real deferred reason was buried. A shadow row now
requires a winner and names it.

"loaded" was backed by a process-global record, so a fresh runtime with no
model still claimed a live adapter. The record is now held by the instance
that attached it, and the report keeps a weak reference: while the model
lives the row says loaded, once it is gone the row says available and
explains that the model is gone.

The sort key had lost the manifest's cartridge tag, which changed which
adapter loads on any machine holding a tagged library copy, and neither the
commit message nor the checklist said so. The tag is back as the middle key.

Proof checks resolved through the library while generation resolved through
the mount, so one proof payload could name two different copies. Both now
resolve the way generation does.

loaded_at was written and never read, so it is gone. The checklist claim that
peft is lazily imported in one place was true only for generation and is now
scoped that way.

The four generation paths and status() had no test coverage, so "no function
was lost" rested on reading. One test now walks the transformers prompt path
end to end with stub weights and asserts the generation answer carries the
adapter it attached.

pytest -q: 225 passed. ruff clean. mypy on the three touched source files:
2 errors, the identical 2 on a stashed HEAD tree, net zero. pyright: 2
errors, both the known qwen_vl_utils tuple artifact, unchanged from HEAD.

backend/src/ely_eye/proofs/checks_runtime.py

@@ -19,6 +19,7 @@ from ..evaluation_schemas import (
 from ..evidence_graph import EvidenceGraphService
 from ..profiles import runtime_profile_report
 from ..runtime import QwenRuntime
+from ..runtime_schemas import AdapterState
 from ..schemas import (
     RuntimeProfile,
     TrainingAdapterKind,
@@ -40,6 +41,16 @@ from .training_trace import (
 )
 
 
+def _generation_adapter(
+    settings: Settings,
+    database: Database,
+    kind: TrainingAdapterKind = TrainingAdapterKind.hme_core_lora,
+) -> tuple[adapters.AdapterSource | None, AdapterState, str]:
+    """Resolve the way generation does, mounted cartridges included, so proof and generation name one copy."""
+    sources, _mounted = adapters.discover(settings, database)
+    return adapters.resolve(sources, settings, kind)
+
+
 class RuntimeChecks:
     """Runtime adapter binding, gold-adapter generation, launch profiles, and the removed module check."""
 
@@ -59,7 +70,7 @@ class RuntimeChecks:
             return deferred
         runtime = QwenRuntime(self.settings)
         status = runtime.status()
-        adapter, _adapter_state, _adapter_reason = adapters.resolve_library_adapter(self.settings)
+        adapter, _adapter_state, _adapter_reason = _generation_adapter(self.settings, self.db)
         weight_path = adapter.path / "adapter_model.safetensors" if adapter else None
         payload = {
             "runtime_status": status.model_dump(mode="json"),
@@ -134,7 +145,7 @@ class RuntimeChecks:
             )
             payload["generation_question"] = generation_question
             status = runtime.status()
-            adapter, _adapter_state, _adapter_reason = adapters.resolve_library_adapter(proof_settings)
+            adapter, _adapter_state, _adapter_reason = _generation_adapter(proof_settings, self.db)
             generation = runtime.generate(generation_question, context)
             answer, citations, citation_report = Verifier().verify_answer(generation.text, context)
             claim_id = EvidenceGraphService(proof_settings, self.db).record_answer(