## Why
#9582 moved the generated schemas onto the JSON Schema draft 2020-12
shape we need for `allOf` + `unevaluatedProperties`. Once we rely on
that behavior, the remaining schema files should use the draft 2020-12
definition namespace consistently.

Keeping `definitions` around works in some validators as legacy
compatibility, but it leaves these files half-migrated: new reusable
schema pieces are expected to live under `$defs`, while older local refs
still point at `#/definitions/...`. This PR finishes that migration for
the settings and registry-tool schemas so follow-up schema refactors can
add shared definitions without mixing two local-ref conventions.

## What changed
- Migrates `schema/mise-settings.json` and
`schema/mise-registry-tool.json` from `definitions` to `$defs`.
- Updates local refs from `#/definitions/...` to `#/$defs/...`.
- Keeps the accepted schema values unchanged; this is a namespace/ref
cleanup for draft 2020-12 consistency.

## Validation
- `jq empty schema/mise-settings.json schema/mise-registry-tool.json`
- `git diff --check`

This PR was generated by an AI coding assistant.

### 🚀 Features

- **(aqua)** support registry libc variants by @jdx in
[#9652](#9652)
- **(bin-paths)** add executable names output by @risu729 in
[#9617](#9617)

### 🐛 Bug Fixes

- **(aqua)** preserve configured file extensions by @risu729 in
[#9611](#9611)
- **(aqua)** support registry file links by @risu729 in
[#9610](#9610)
- **(backend)** reject bare package backend names by @risu729 in
[#9608](#9608)
- **(backend)** apply inline tool option overrides by @risu729 in
[#9306](#9306)
- **(backend)** skip versions host for local tool opts by @risu729 in
[#9568](#9568)
- **(github)** chmod explicit archive bin by @risu729 in
[#9609](#9609)
- **(install)** skip remote-versions refresh in prefer-offline mode by
@jdx in [#9627](#9627)
- **(lock)** scope targets to active project root by @risu729 in
[#9319](#9319)
- **(lockfile)** respect existing platforms during auto-lock by @jdx in
[#9621](#9621)
- **(pipx)** filter yanked pypi releases by @risu729 in
[#9607](#9607)
- **(pipx)** declare python as a backend dependency by @jdx in
[#9678](#9678)
- **(schema)** update refs to $defs in mise-registry-tool.json by
@risu729 in [#9671](#9671)
- **(task)** terminate parallel siblings on failure via process groups
by @jdx in [#9655](#9655)
- **(task)** stable MISE_PROJECT_ROOT for monorepo tasks, add
MISE_MONOREPO_ROOT by @jdx in
[#9657](#9657)
- **(trust)** run enter hooks after trusting config by @risu729 in
[#9634](#9634)
- **(ui)** stop clearing screen for prompts by @jdx in
[#9619](#9619)
- use /bin/cp on macos by @pdehlke in
[#9656](#9656)

### 🚜 Refactor

- **(aqua)** store aqua var defaults as strings by @risu729 in
[#9645](#9645)
- **(config)** support structured TOML values in registry backend
options by @risu729 in [#9584](#9584)
- **(deps)** remove serde_derive dependency by @risu729 in
[#9670](#9670)
- **(deps)** remove anyhow dependency by @risu729 in
[#9661](#9661)
- **(deps)** use std::sync::LazyLock instead of once_cell::Lazy by
@risu729 in [#9668](#9668)
- **(schema)** generate task schema from mise schema by @risu729 in
[#9581](#9581)
- **(schema)** reuse task props with unevaluatedProperties by @risu729
in [#9582](#9582)
- **(schema)** reuse registry common types by @risu729 in
[#9648](#9648)
- **(schema)** reuse plugin script config by @risu729 in
[#9647](#9647)
- **(schema)** use $defs in schema files by @risu729 in
[#9646](#9646)

### 📚 Documentation

- **(node)** add tips for enabling node idiomatic by @fu050409 in
[#9675](#9675)

### 🧪 Testing

- **(cli)** remove nondeterministic tool depends assertion by @risu729
in [#9633](#9633)
- **(e2e)** pin uv to 0.11.8 around astral-sh/uv#19278 by @jdx in
[#9618](#9618)
- **(e2e)** wait for docker env cleanup by @risu729 in
[#9631](#9631)
- **(zig)** use official zig instead of mach mirror by @jdx in
[#9659](#9659)

### 📦️ Dependency Updates

- fall through to hash check when providers have no outputs by @jdx in
[#9622](#9622)
- bump Cargo.lock by @jdx in
[#9625](#9625)

### 📦 Registry

- remove registry depends by @risu729 in
[#9571](#9571)
- add code-review-graph (pipx:code-review-graph) by @chautruonglong in
[#9673](#9673)

### Chore

- **(ci)** split large registry test-tool changes by @risu729 in
[#9628](#9628)
- **(ci)** make perf script robust to runner noise by @jdx in
[#9635](#9635)
- **(ci)** skip hyperfine comments without permission by @risu729 in
[#9629](#9629)

### New Contributors

- @chautruonglong made their first contribution in
[#9673](#9673)
- @pdehlke made their first contribution in
[#9656](#9656)

## 📦 Aqua Registry Updates

### New Packages (5)

-
[`anthropics/anthropic-cli`](https://github.com/anthropics/anthropic-cli)
- [`crates.io/wasmi_cli`](https://github.com/wasmi-labs/wasmi)
- [`openclaw/gogcli`](https://github.com/openclaw/gogcli)
- `racket-lang.org/racket-minimal`
- [`runs-on/cli`](https://github.com/runs-on/cli)

### Updated Packages (13)

- [`UpCloudLtd/upcloud-cli`](https://github.com/UpCloudLtd/upcloud-cli)
- [`aristocratos/btop`](https://github.com/aristocratos/btop)
- [`dprint/dprint`](https://github.com/dprint/dprint)
- [`j178/prek`](https://github.com/j178/prek)
- [`jdx/hk`](https://github.com/jdx/hk)
- [`jdx/mise`](https://github.com/jdx/mise)
- [`jdx/usage`](https://github.com/jdx/usage)
- [`jreleaser/jreleaser`](https://github.com/jreleaser/jreleaser)
-
[`jreleaser/jreleaser/standalone`](https://github.com/jreleaser/jreleaser)
- [`pnpm/pnpm`](https://github.com/pnpm/pnpm)
- [`suzuki-shunsuke/cmdx`](https://github.com/suzuki-shunsuke/cmdx)
- [`suzuki-shunsuke/ghir`](https://github.com/suzuki-shunsuke/ghir)
- [`twpayne/chezmoi`](https://github.com/twpayne/chezmoi)