appender-tracing: Remove undesired dependency on opentelemetry_sdk

Author: dylanahsmith

opentelemetry-appender-tracing/Cargo.toml

@@ -13,7 +13,6 @@ rust-version = "1.75.0"
 [dependencies]
 log = { workspace = true, optional = true }
 opentelemetry = { version = "0.27", path = "../opentelemetry", features = ["logs"] }
-opentelemetry_sdk = { version = "0.27", path = "../opentelemetry-sdk", features = ["logs"]  }
 tracing = { workspace = true, features = ["std"]}
 tracing-core = { workspace = true }
 tracing-log = { version = "0.2", optional = true }