chore: update crates.io publish plan and fix dependencies

- Update CRATES_PUBLISH_PLAN.md with Level 0-2 completion status
- Fix binary-merkle-tree and related dependencies
- Add runtime_logger_tests.rs
- Update various Cargo.toml files

bizinikiwi/pezframe/beefy-mmr/Cargo.toml

@@ -14,7 +14,7 @@ workspace = true
 
 [dependencies]
 array-bytes = { optional = true, workspace = true, default-features = true }
-binary-merkle-tree = { workspace = true }
+pez-binary-merkle-tree = { workspace = true }
 codec = { features = ["derive"], workspace = true }
 log = { workspace = true }
 pezframe-benchmarking = { optional = true, workspace = true }
@@ -41,7 +41,7 @@ pezsp-staking = { workspace = true, default-features = true }
 default = ["std"]
 std = [
 	"array-bytes",
-	"binary-merkle-tree/std",
+	"pez-binary-merkle-tree/std",
 	"codec/std",
 	"log/std",
 	"pezframe-benchmarking/std",
@@ -71,7 +71,7 @@ try-runtime = [
 	"pezsp-runtime/try-runtime",
 ]
 runtime-benchmarks = [
-	"binary-merkle-tree/runtime-benchmarks",
+	"pez-binary-merkle-tree/runtime-benchmarks",
 	"pezframe-benchmarking/runtime-benchmarks",
 	"pezframe-support/runtime-benchmarks",
 	"pezframe-system/runtime-benchmarks",