Cleanup dependencies (part 4) (#8468)

Follow-up to #8425 . Final part - adds the CI check.

Release Notes:
- N/A

crates/client/Cargo.toml

@@ -16,7 +16,6 @@ test-support = ["clock/test-support", "collections/test-support", "gpui/test-sup
 chrono = { workspace = true, features = ["serde"] }
 clock.workspace = true
 collections.workspace = true
-db.workspace = true
 gpui.workspace = true
 util.workspace = true
 release_channel.workspace = true
@@ -24,13 +23,11 @@ rpc.workspace = true
 text.workspace = true
 settings.workspace = true
 feature_flags.workspace = true
-sum_tree.workspace = true
 
 anyhow.workspace = true
 async-recursion = "0.3"
 async-tungstenite = { version = "0.16", features = ["async-std", "async-native-tls"] }
 futures.workspace = true
-image = "0.23"
 lazy_static.workspace = true
 log.workspace = true
 once_cell = "1.19.0"
@@ -39,7 +36,6 @@ postage.workspace = true
 rand.workspace = true
 schemars.workspace = true
 serde.workspace = true
-serde_derive.workspace = true
 serde_json.workspace = true
 sha2.workspace = true
 smol.workspace = true
@@ -49,7 +45,6 @@ tempfile.workspace = true
 thiserror.workspace = true
 time.workspace = true
 tiny_http = "0.8"
-uuid.workspace = true
 url.workspace = true
 
 [dev-dependencies]