Auto merge of #23564 - mmiecz:clipboard-refactoring, r=jdm

Clipboard refactoring

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This PR removes clipboard handling from the constellation. Instead, now embedder handles it.

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- [X] `./mach build -d` does not report any errors
- [X] `./mach test-tidy` does not report any errors
- [X] These changes fix #23440 (GitHub issue number if applicable)

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- [ ] There are tests for these changes OR
- [X] These changes do not require tests because it is enough to test manually in input box, if copying and pasting still works .

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Cargo.lock

@@ -4019,6 +4019,7 @@ dependencies = [
  "backtrace 0.3.26 (registry+https://github.com/rust-lang/crates.io-index)",
  "bitflags 1.0.3 (registry+https://github.com/rust-lang/crates.io-index)",
  "cc 1.0.35 (registry+https://github.com/rust-lang/crates.io-index)",
+ "clipboard 0.5.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "crossbeam-channel 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)",
  "euclid 0.19.8 (registry+https://github.com/rust-lang/crates.io-index)",
  "gleam 0.6.16 (registry+https://github.com/rust-lang/crates.io-index)",