[drawer] Restore SwipeArea component

[atomiks]

• I have followed (at least) the PR section of the contributing guide.

[pkg-pr-new]

• base-ui-tanstack-start

• vite-css-base-ui-example

  pnpm add https://pkg.pr.new/@base-ui/react@4102
  

  pnpm add https://pkg.pr.new/@base-ui/utils@4102
  

commit: d8f03b1

[mui-bot]

Bundle size report

Bundle	Parsed size	Gzip size
@base-ui/react	🔺+4.34KB(+0.96%)	🔺+1.23KB(+0.84%)

Details of bundle changes

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[greptile-apps]

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[michaldudak]

Sometimes it's impossible to close the drawer by clicking on the backdrop:

Screen.Recording.2026-02-16.at.14.33.03.mov

I'm also still experiencing the original issue where the drawer opens halfway when dragged quickly (both with mouse and touchpad). In these cases it's also impossible to close it by clicking outside.

Screen.Recording.2026-02-16.at.14.35.19.mov