feat: implement new claude skills and workflow

.claude/skills/problem-analysis/SKILL.md

@@ -0,0 +1,26 @@
+---
+name: problem-analysis
+description: Invoke IMMEDIATELY for structured problem analysis and solution discovery.
+---
+
+# Problem Analysis
+
+When this skill activates, IMMEDIATELY invoke the script. The script IS the
+workflow.
+
+## Invocation
+
+```bash
+python3 scripts/analyze.py \
+  --step 1 \
+  --total-steps 7 \
+  --thoughts "Problem: <describe>"
+```
+
+| Argument        | Required | Description                               |
+| --------------- | -------- | ----------------------------------------- |
+| `--step`        | Yes      | Current step (starts at 1)                |
+| `--total-steps` | Yes      | Minimum 7; adjust as script instructs     |
+| `--thoughts`    | Yes      | Accumulated state from all previous steps |
+
+Do NOT analyze or explore first. Run the script and follow its output.