Migrate playground example to vite

[zorzysty]

[codesandbox-ci[bot]]

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Latest deployment of this branch, based on commit 19822c772f9cfd087ab5cda20f6128c02793af46:

Sandbox	Source
@tanstack/query-example-react-basic	Configuration
@tanstack/query-example-react-basic-typescript	Configuration

[codecov-commenter]

Codecov Report

Merging #3955 (19822c7) into main (eab6e2c) will increase coverage by 0.45%. The diff coverage is n/a.

@@            Coverage Diff             @@
##             main    #3955      +/-   ##
==========================================
+ Coverage   96.36%   96.81%   +0.45%     
==========================================
  Files          45       57      +12     
  Lines        2281     2666     +385     
  Branches      640      782     +142     
==========================================
+ Hits         2198     2581     +383     
- Misses         80       83       +3     
+ Partials        3        2       -1     

Impacted Files	Coverage Δ
src/devtools/tests/utils.tsx
src/core/hydration.ts
src/core/infiniteQueryBehavior.ts
src/core/subscribable.ts
src/react/useBaseQuery.ts
src/core/mutation.ts
src/react/QueryErrorResetBoundary.tsx
src/react/useIsMutating.ts
src/core/utils.ts
src/react/Hydrate.tsx
... and 92 more

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