chore(protocol): improve the usage of initializer and reinitializer

packages/protocol/contracts/layer1/based/TaikoL1.sol

@@ -49,13 +49,14 @@ contract TaikoL1 is EssentialContract, ITaikoL1, TaikoEvents {
         bool _toPause
     )
         external
-        reinitializer(2)
+        initializer
     {
         __Essential_init(_owner, _rollupAddressManager);
         LibUtils.init(state, getConfig(), _genesisBlockHash);
         if (_toPause) _pause();
     }
 
+    /// @notice This function shall be called by previously deployed contracts.
     function init2() external onlyOwner reinitializer(2) {
         // reset some previously used slots for future reuse
         state.slotB.__reservedB1 = 0;

packages/protocol/contracts/shared/bridge/Bridge.sol

@@ -104,10 +104,11 @@ contract Bridge is EssentialContract, IBridge {
     /// @notice Initializes the contract.
     /// @param _owner The owner of this contract. msg.sender will be used if this value is zero.
     /// @param _sharedAddressManager The address of the {AddressManager} contract.
-    function init(address _owner, address _sharedAddressManager) external reinitializer(2) {
+    function init(address _owner, address _sharedAddressManager) external initializer {
         __Essential_init(_owner, _sharedAddressManager);
     }
 
+    /// @notice This function shall be called by previously deployed contracts.
     function init2() external onlyOwner reinitializer(2) {
         // reset some previously used slots for future reuse
         __reserved1 = 0;

packages/protocol/contracts/shared/common/AddressManager.sol

@@ -25,10 +25,11 @@ contract AddressManager is EssentialContract, IAddressManager {
 
     /// @notice Initializes the contract.
     /// @param _owner The owner of this contract.
-    function init(address _owner) external reinitializer(2) {
+    function init(address _owner) external initializer {
         __Essential_init(_owner, address(this));
     }
 
+    /// @notice This function shall be called by previously deployed contracts.
     function init2() external onlyOwner reinitializer(2) {
         addressManager = address(this);
     }

packages/protocol/contracts/shared/tokenvault/BridgedERC20V2.sol

@@ -29,7 +29,9 @@ contract BridgedERC20V2 is BridgedERC20, IERC20PermitUpgradeable, EIP712Upgradea
     error BTOKEN_INVALID_SIG();
 
     /// @inheritdoc IBridgedERC20Initializable
-    /// @dev Calling this function will change the initialized version to 2.
+    /// @dev This function is called when the bridge deploys a new bridged ERC20 token, so this
+    /// function must also cover the logic in init2(), we use
+    /// `reinitializer(2)` instead of `initializer`.
     function init(
         address _owner,
         address _sharedAddressManager,
@@ -48,31 +50,27 @@ contract BridgedERC20V2 is BridgedERC20, IERC20PermitUpgradeable, EIP712Upgradea
         LibBridgedToken.validateInputs(_srcToken, _srcChainId);
         __Essential_init(_owner, _sharedAddressManager);
         __ERC20_init(_name, _symbol);
-        __EIP712_init_unchained(_name, "1");
-
         // Set contract properties
         srcToken = _srcToken;
         srcChainId = _srcChainId;
         __srcDecimals = _decimals;
+
+        // Cover logics from `init2()`
+        __EIP712_init_unchained(_name, "1");
     }
 
-    /// @dev This function shall be called when upgrading a deployed contract from {BridgedERC20} to
-    /// {BridgedERC20V2}.
+    /// @notice This function shall be called by previously deployed contracts.
     function init2() external reinitializer(2) {
         __EIP712_init_unchained(name(), "1");
     }
-    /**
-     * @inheritdoc IERC20PermitUpgradeable
-     */
-    // solhint-disable-next-line func-name-mixedcase
 
+    /// @inheritdoc IERC20PermitUpgradeable
+    // solhint-disable-next-line func-name-mixedcase
     function DOMAIN_SEPARATOR() external view override returns (bytes32) {
         return _domainSeparatorV4();
     }
 
-    /**
-     * @inheritdoc IERC20PermitUpgradeable
-     */
+    /// @inheritdoc IERC20PermitUpgradeable
     function permit(
         address owner,
         address spender,
@@ -100,9 +98,7 @@ contract BridgedERC20V2 is BridgedERC20, IERC20PermitUpgradeable, EIP712Upgradea
         _approve(owner, spender, value);
     }
 
-    /**
-     * @inheritdoc IERC20PermitUpgradeable
-     */
+    /// @inheritdoc IERC20PermitUpgradeable
     function nonces(address owner) public view virtual override returns (uint256) {
         return _nonces[owner].current();
     }
@@ -113,11 +109,7 @@ contract BridgedERC20V2 is BridgedERC20, IERC20PermitUpgradeable, EIP712Upgradea
             || super.supportsInterface(_interfaceId);
     }
 
-    /**
-     * @dev "Consume a nonce": return the current value and increment.
-     *
-     * _Available since v4.1._
-     */
+    /// @dev "Consume a nonce": return the current value and increment.
     function _useNonce(address owner) internal virtual returns (uint256 current) {
         CountersUpgradeable.Counter storage nonce = _nonces[owner];
         current = nonce.current();

packages/protocol/test/shared/thirdparty/Multicall3.sol

@@ -1,7 +1,3 @@
-/**
- * Submitted for verification at taikoscan.io on 2024-05-30
- */
-
 // SPDX-License-Identifier: MIT
 pragma solidity ^0.8.24;