fix(package-manager): detect `bun` before `yarn` to allow `bun install --yarn` usage (#24360)

# Why

Some people value readable lock files, and unfortunately, `bun.lockb`
isn't readable. Bun has

fix(package-manager): detect `bun` before `yarn` to allow `bun install --yarn` usage (#24360)

# Why

Some people value readable lock files, and unfortunately, `bun.lockb`
isn't readable. Bun has a feature for this, where it exports both a
`bun.lockb` and `yarn.lock` (based on `bun.lockb`).

For that reason, we should resolve `bun` before `yarn`. If people use
`bun install --yarn`, we always resolve to `yarn`.

# How

- Move `bun` detection before `yarn`.

# Test Plan

- `$ bun create expo ./test -t tabs`
- `$ cd ./test`
- `$ bun install --yarn`
- `$ bun expo install`
- _Should use `bun` to install_

# Checklist

<!--
Please check the appropriate items below if they apply to your diff.
This is required for changes to Expo modules.
-->

- [ ] Documentation is up to date to reflect these changes (eg:
https://docs.expo.dev and README.md).
- [ ] Conforms with the [Documentation Writing Style
Guide](https://github.com/expo/expo/blob/main/guides/Expo%20Documentation%20Writing%20Style%20Guide.md)
- [ ] This diff will work correctly for `npx expo prebuild` & EAS Build
(eg: updated a module plugin).

show more ...

feat: detect Bun package manager (#24168)

# Why

Adds Bun as a recognized package manager

Sister PR: https://github.com/expo/expo-cli/pull/4752

# How

Added `@expo/package-manager`

# Te

feat: detect Bun package manager (#24168)

# Why

Adds Bun as a recognized package manager

Sister PR: https://github.com/expo/expo-cli/pull/4752

# How

Added `@expo/package-manager`

# Test Plan

Added `BunPackageManager-test.ts` and added Bun tests to
`nodeManagers-test.ts`.

<!--
Please describe how you tested this change and how a reviewer could
reproduce your test, especially if this PR does not include automated
tests! If possible, please also provide terminal output and/or
screenshots demonstrating your test/reproduction.
-->

# Checklist

---------

Co-authored-by: Evan Bacon <[email protected]>
Co-authored-by: Expo Bot <[email protected]>

show more ...