Combine batch burnable and transferable

contracts/extensions/ERC721ABatchBurnable.sol

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+// SPDX-License-Identifier: MIT
+// ERC721A Contracts v4.2.3
+// Creator: Chiru Labs
+
+pragma solidity ^0.8.4;
+
+import './ERC721ABurnable.sol';
+import './IERC721ABatchBurnable.sol';
+
+/**
+ * @title ERC721ABatchBurnable.
+ *
+ * @dev ERC721A token optimized for batch burns.
+ */
+abstract contract ERC721ABatchBurnable is ERC721ABurnable, IERC721ABatchBurnable {
+    function batchBurn(uint256[] memory tokenIds) public virtual override {
+        _batchBurn(_msgSenderERC721A(), tokenIds);
+    }
+}

contracts/extensions/IERC721ABatchBurnable.sol

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+// SPDX-License-Identifier: MIT
+// ERC721A Contracts v4.2.3
+// Creator: Chiru Labs
+
+pragma solidity ^0.8.4;
+
+import './IERC721ABurnable.sol';
+
+/**
+ * @dev Interface of ERC721ABatchBurnable.
+ */
+interface IERC721ABatchBurnable is IERC721ABurnable {
+    function batchBurn(uint256[] memory tokenIds) external;
+}

contracts/interfaces/IERC721ABatchBurnable.sol

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+// SPDX-License-Identifier: MIT
+// ERC721A Contracts v4.2.3
+// Creator: Chiru Labs
+
+pragma solidity ^0.8.4;
+
+import '../extensions/IERC721ABatchBurnable.sol';

contracts/mocks/ERC721ABatchBurnableMock.sol

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+// SPDX-License-Identifier: MIT
+// ERC721A Contracts v4.2.3
+// Creators: Chiru Labs
+
+pragma solidity ^0.8.4;
+
+import '../extensions/ERC721ABatchBurnable.sol';
+import './DirectBurnBitSetterHelper.sol';
+
+contract ERC721ABatchBurnableMock is ERC721ABatchBurnable, DirectBurnBitSetterHelper {
+    constructor(string memory name_, string memory symbol_) ERC721A(name_, symbol_) {}
+
+    function exists(uint256 tokenId) public view returns (bool) {
+        return _exists(tokenId);
+    }
+
+    function safeMint(address to, uint256 quantity) public {
+        _safeMint(to, quantity);
+    }
+
+    function getOwnershipAt(uint256 index) public view returns (TokenOwnership memory) {
+        return _ownershipAt(index);
+    }
+
+    function totalMinted() public view returns (uint256) {
+        return _totalMinted();
+    }
+
+    function totalBurned() public view returns (uint256) {
+        return _totalBurned();
+    }
+
+    function numberBurned(address owner) public view returns (uint256) {
+        return _numberBurned(owner);
+    }
+
+    function initializeOwnershipAt(uint256 index) public {
+        _initializeOwnershipAt(index);
+    }
+
+    function batchBurnUnoptimized(uint256[] memory tokenIds) public {
+        unchecked {
+            uint256 tokenId;
+            for (uint256 i; i < tokenIds.length; ++i) {
+                tokenId = tokenIds[i];
+                _burn(tokenId);
+            }
+        }
+    }
+}