Fix clippy::redundant_clone lint violations (#36558)

This removes around 900 unnecessary clones, ranging from cloning a few
ints all the way to large data structures and images.

A lot of these were fixed using `cargo clippy --fix --workspace
--all-targets`, however it often breaks other lints and needs to be run
again. This was then followed up with some manual fixing.

I understand this is a large diff, but all the changes are pretty
trivial. Rust is doing some heavy lifting here for us. Once I get it up
to speed with main, I'd appreciate this getting merged rather sooner
than later.

Release Notes:

- N/A

crates/remote_server/src/headless_project.rs

@@ -237,11 +237,11 @@ impl HeadlessProject {
         session.add_entity_message_handler(BufferStore::handle_close_buffer);
 
         session.add_request_handler(
-            extensions.clone().downgrade(),
+            extensions.downgrade(),
             HeadlessExtensionStore::handle_sync_extensions,
         );
         session.add_request_handler(
-            extensions.clone().downgrade(),
+            extensions.downgrade(),
             HeadlessExtensionStore::handle_install_extension,
         );