Compiler playground now runs the entire program through
`babel-plugin-react-compiler` instead of a custom pipeline which
previously duplicated function inference logic from `Program.ts`. In
addition, the playground output reflects the tranformed file (instead of
a "virtual file" of manually concatenated functions).

This helps with the following:
- Reduce potential discrepencies between playground and babel plugin
behavior. See attached fixture output for an example where we previously
diverged.
- Let playground users see compiler-inserted imports (e.g. `_c` or
`useFire`)

This also helps us repurpose playground into a more general tool for
compiler-users instead of just for compiler engineers.
- imports and other functions are preserved.
We differentiate between imports and globals in many cases (e.g.
`inferEffectDeps`), so it may be misleading to omit imports in printed
output
- playground now shows other program-changing behavior like position of
outlined functions and hoisted declarations
- emitted compiled functions do not need synthetic names
---
[//]: # (BEGIN SAPLING FOOTER)
Stack created with [Sapling](https://sapling-scm.com). Best reviewed
with [ReviewStack](https://reviewstack.dev/facebook/react/pull/31774).
* #31809
* __->__ #31774

…act into issue-31578-setter-arity-gcc

* 'issue-31578-setter-arity-gcc' of github.com:/davesnx/react:
  [flags] Clean up scheduler flags (facebook#31814)
  Enable debugRenderPhaseSideEffectsForStrictMode in test renderers (facebook#31761)
  Enable disableDefaultPropsExceptForClasses (facebook#31804)
  Turn on useModernStrictMode in test renderers (facebook#31769)
  [compiler][ez] Add shape for global Object.keys (facebook#31583)
  [compiler] Context variables as dependencies (facebook#31582)
  [compiler] Add fire to known React APIs (facebook#31795)
  [compiler] Add option for firing effect functions (facebook#31794)
  [compiler][be] Logger based debug printing in test runner (facebook#31809)
  [compiler][ez] Clean up duplicate code in propagateScopeDeps (facebook#31581)
  [compiler] Repro for aliased captures within inner function expressions (facebook#31770)
  [compiler][be] Playground now compiles entire program (facebook#31774)
  [Flight] Color and badge non-primary environments (facebook#31738)
  [Flight] Emit Deduped Server Components Marker (facebook#31737)
  [Flight] Sort Server Components Track Group ahead of Client Scheduler/Components Tracks (facebook#31736)
  Clean up context access profiling experiment (facebook#31806)
  [Flight] Stack Parallel Components in Separate Tracks (facebook#31735)
  Flag for requestPaint (facebook#31805)