Use Playwright for integration test

[xcv58]

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[vercel]

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🔍 Inspect: https://vercel.com/xcv58/tab-manager-v2-storybook/GSChDU6woeEedFKmFgLx1tbWHkg4
✅ Preview: https://tab-manager-v2-storybook-git-playwright-xcv58.vercel.app

[codecov]

Codecov Report

Merging #1003 (5676de6) into master (20e129b) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##           master    #1003   +/-   ##
=======================================
  Coverage   32.32%   32.32%           
=======================================
  Files          51       51           
  Lines        1878     1878           
  Branches      279      279           
=======================================
  Hits          607      607           
  Misses       1256     1256           
  Partials       15       15           

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[coveralls]

Coverage remained the same at 26.384% when pulling 8d28786 on playwright into 20e129b on master.