gpui_web: Implement clipboard write and paste (#60890)

# Objective

write_to_clipboard was a no-op and read_from_clipboard returned None.

## Solution

Writes go through the browser's asynchronous Clipboard API,
fire-and-forget, invoked synchronously inside the user's input event so
the user-activation requirement holds.

Reads cannot be implemented the same way: the async clipboard read API
cannot fit read_from_clipboard's synchronous signature. Paste is instead
delivered by a DOM paste listener on the hidden input, whose
ClipboardEvent exposes clipboardData synchronously; the text feeds the
active input handler. This covers keyboard-, menu-bar- and
context-menu-initiated paste. Note the keyboard path requires the paste
chord's keydown to reach the browser unconsumed (apps should not bind
cmd/ctrl-v on web).

## Testing

Tested locally

## Self-Review Checklist:

- [x] I've reviewed my own diff for quality, security, and reliability
- [x] Unsafe blocks (if any) have justifying comments
- [x] The content adheres to Zed's UI standards
([UX/UI](https://github.com/zed-industries/zed/blob/main/CONTRIBUTING.md#uiux-checklist)
and
[icon](https://github.com/zed-industries/zed/blob/main/crates/icons/README.md)
guidelines)
- [x] Tests cover the new/changed behavior
- [x] Performance impact has been considered and is acceptable

Release Notes:

- N/A
084b5d21f6Baris Palaska committed on 7/13/2026, 2:22:44 PM· committed by GitHubparent8906914
3 files changedLine totals unavailable