refactor: mirror module namespaces to their directories (task 0031)

Adopt the convention that a Module's option path mirrors its directory
under modules/, with an index file naming the directory's own segment.

- Group agent Modules under modules.agents.*: claude-code (whole
  directory), pi (flattened to a file), skills (renamed from
  agent-skills), and gitea-axi under an agents/tools/ subgroup. The
  agents/ and tools/ folders are pure namespace prefixes with no
  aggregator enable.
- Nest hypridle and hyprlock under modules.desktop.hyprland.*, with
  hyprland.nix as the index, and update the desktop aggregator.
- Remove the obsolete example Module.
- Record the convention in CONTEXT.md and ADR 0004, and update the
  neogaia host, the two live CLAUDE.md gotchas, and the skills Module's
  intentional Enable-convention exception comment.

modules/agents/claude-code/skills/to-tasks/TASK-FORMAT.md

@@ -0,0 +1,28 @@
+# Task Format
+
+## Template
+
+```md
+---
+spec: <feature-slug>
+blocked-by: <slice-slug-or-list>
+---
+
+## What to build
+
+A concise description of this vertical slice. Describe the end-to-end behavior, not layer-by-layer implementation.
+
+## Acceptance criteria
+
+- [ ] Criterion 1
+- [ ] Criterion 2
+- [ ] Criterion 3
+```
+
+## Rules
+
+- **`spec`**: the feature-slug this task was written from. Omit the field entirely if there's no spec.
+- **`blocked-by`**: which other task(s) must complete before this one can start. Omit the field entirely if there are none. Each value is the blocking task's full `<NNNN>-<slice-slug>` filename stem, not just its slug. A single blocker is a bare string (`blocked-by: 0010-add-schema`); more than one is a YAML list (`blocked-by: [0010-add-schema, 0011-wire-api]`). Once written, keep the field even after the referenced task is completed — it's a permanent record of the dependency, not a "still blocked" flag.
+- **Don't include specific file paths or code snippets** in "What to build" — they go stale fast. Exception: if a prototype produced a snippet that encodes a decision more precisely than prose can (state machine, reducer, schema, type shape), inline it here and note briefly that it came from a prototype. Trim to the decision-rich parts — not a working demo, just the important bits.
+- A task is done when every criterion in "Acceptance criteria" is resolved: mark `[x]` as satisfied, or `[-]` if deliberately dropped (`/implement` records the reason in the task's Implementation Notes) — track completion here, not anywhere else.
+- A slice becomes pickable once every task named in `blocked-by` is done (all of its acceptance criteria resolved) — check the referenced tasks' state, not just whether the field is present. The file's number is an identifier and a rough ordering hint, not a strict gate — sibling slices with no blockers can be worked in parallel.