Cleanup dependencies (part 4) (#8468)

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

Release Notes:
- N/A

crates/project/Cargo.toml

@@ -31,10 +31,8 @@ copilot.workspace = true
 fs.workspace = true
 futures.workspace = true
 fuzzy.workspace = true
-git.workspace = true
 globset.workspace = true
 gpui.workspace = true
-ignore = "0.4"
 itertools.workspace = true
 language.workspace = true
 log.workspace = true
@@ -48,14 +46,12 @@ rand.workspace = true
 regex.workspace = true
 rpc.workspace = true
 task.workspace = true
-schemars.workspace = true
 serde.workspace = true
 serde_json.workspace = true
 settings.workspace = true
 sha2.workspace = true
 similar = "1.3"
 smol.workspace = true
-sum_tree.workspace = true
 terminal.workspace = true
 text.workspace = true
 util.workspace = true