Integrated cupertino_http with package_http_profile

[brianquinlan]

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[derekxu16]

Since we're adding a dependency on package:http_profile, I believe

environment:
  sdk: ^3.2.0
  flutter: '>=3.16.0'

should be changed to

environment:
  sdk: ^3.4.0
  flutter: '>=3.22.0'

[derekxu16]

Suggested change

	[DevTools "Network" tab](https://docs.flutter.dev/tools/devtools/network).
	[DevTools Network View](https://docs.flutter.dev/tools/devtools/network).