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/staking-async/runtimes/rc/Cargo.toml

@@ -24,7 +24,7 @@ serde_derive = { optional = true, workspace = true }
 serde_json = { features = ["alloc"], workspace = true }
 smallvec = { workspace = true, default-features = true }
 
-binary-merkle-tree = { workspace = true }
+pez-binary-merkle-tree = { workspace = true }
 pezsp-api = { workspace = true }
 pezsp-application-crypto = { workspace = true }
 pezsp-arithmetic = { workspace = true }
@@ -135,7 +135,7 @@ bizinikiwi-wasm-builder = { workspace = true, default-features = true }
 default = ["std"]
 no_std = []
 std = [
-	"binary-merkle-tree/std",
+	"pez-binary-merkle-tree/std",
 	"bitvec/std",
 	"codec/std",
 	"log/std",
@@ -230,7 +230,7 @@ std = [
 	"xcm/std",
 ]
 runtime-benchmarks = [
-	"binary-merkle-tree/runtime-benchmarks",
+	"pez-binary-merkle-tree/runtime-benchmarks",
 	"bizinikiwi-wasm-builder/runtime-benchmarks",
 	"pezframe-benchmarking/runtime-benchmarks",
 	"pezframe-election-provider-support/runtime-benchmarks",

bizinikiwi/pezframe/staking-async/runtimes/rc/src/lib.rs

@@ -504,7 +504,7 @@ impl BeefyDataProvider<H256> for ParaHeadsRootProvider {
 	fn extra_data() -> H256 {
 		let para_heads: Vec<(u32, Vec<u8>)> =
 			teyrchains_paras::Pezpallet::<Runtime>::sorted_para_heads();
-		binary_merkle_tree::merkle_root::<mmr::Hashing, _>(
+		pez_binary_merkle_tree::merkle_root::<mmr::Hashing, _>(
 			para_heads.into_iter().map(|pair| pair.encode()),
 		)
 		.into()