Vulnerability: No check for `initialEth` in `GoatV1Pair.takeOverPool()`.
Severity: medium

Description:
GoatV1Pair.takeOverPool() only checks the amount of `token` for initialization, not `initialETH`.\\n```\\n    function takeOverPool(GoatTypes.InitParams memory initParams) external {\\n        if (_vestingUntil != _MAX_UINT32) {\\n            revert GoatErrors.ActionNotAllowed();\\n        }\\n\\n        GoatTypes.InitialLPInfo memory initialLpInfo = _initialLPInfo;\\n\\n        GoatTypes.LocalVariables_TakeOverPool memory localVars;\\n        address to = msg.sender;\\n        localVars.virtualEthOld = _virtualEth;\\n        localVars.bootstrapEthOld = _bootstrapEth;\\n        localVars.initialTokenMatchOld = _initialTokenMatch;\\n\\n        (localVars.tokenAmountForPresaleOld, localVars.tokenAmountForAmmOld) = _tokenAmountsForLiquidityBootstrap(\\n            localVars.virtualEthOld,\\n            localVars.bootstrapEthOld,\\n            initialLpInfo.initialWethAdded,\\n            localVars.initialTokenMatchOld\\n        );\\n\\n        // new token amount for bootstrap if no swaps would have occured\\n        (localVars.tokenAmountForPresaleNew, localVars.tokenAmountForAmmNew) = _tokenAmountsForLiquidityBootstrap(\\n            initParams.virtualEth, initParams.bootstrapEth, initParams.initialEth, initParams.initialTokenMatch\\n        );\\n\\n        // team needs to add min 10% more tokens than the initial lp to take over\\n        localVars.minTokenNeeded =\\n            ((localVars.tokenAmountForPresaleOld + localVars.tokenAmountForAmmOld) * 11000) / 10000;\\n\\n481     if ((localVars.tokenAmountForAmmNew + localVars.tokenAmountForPresaleNew) < localVars.minTokenNeeded) {\\n            revert GoatErrors.InsufficientTakeoverTokenAmount();\\n        }\\n\\n        localVars.reserveEth = _reserveEth;\\n\\n        // Actual token amounts needed if the reserves have updated after initial lp mint\\n        (localVars.tokenAmountForPresaleNew, localVars.tokenAmountForAmmNew) = _tokenAmountsForLiquidityBootstrap(\\n            initParams.virtualEth, initParams.bootstrapEth, localVars.reserveEth, initParams.initialTokenMatch\\n        );\\n        localVars.reserveToken = _reserveToken;\\n\\n        // amount of tokens transferred by the new team\\n        uint256 tokenAmountIn = IERC20(_token).balanceOf(address(this)) - localVars.reserveToken;\\n\\n        if (\\n            tokenAmountIn\\n                < (\\n                    localVars.tokenAmountForPresaleOld + localVars.tokenAmountForAmmOld - localVars.reserveToken\\n                        + localVars.tokenAmountForPresaleNew + localVars.tokenAmountForAmmNew\\n                )\\n        ) {\\n            revert GoatErrors.IncorrectTokenAmount();\\n        }\\n\\n        localVars.pendingLiquidityFees = _pendingLiquidityFees;\\n        localVars.pendingProtocolFees = _pendingProtocolFees;\\n\\n        // amount of weth transferred by the new team\\n        uint256 wethAmountIn = IERC20(_weth).balanceOf(address(this)) - localVars.reserveEth\\n            - localVars.pendingLiquidityFees - localVars.pendingProtocolFees;\\n\\n        if (wethAmountIn < localVars.reserveEth) {\\n            revert GoatErrors.IncorrectWethAmount();\\n        }\\n\\n        _handleTakeoverTransfers(\\n            IERC20(_weth), IERC20(_token), initialLpInfo.liquidityProvider, localVars.reserveEth, localVars.reserveToken\\n        );\\n\\n        uint256 lpBalance = balanceOf(initialLpInfo.liquidityProvider);\\n        _burn(initialLpInfo.liquidityProvider, lpBalance);\\n\\n        // new lp balance\\n        lpBalance = Math.sqrt(uint256(initParams.virtualEth) * initParams.initialTokenMatch) - MINIMUM_LIQUIDITY;\\n        _mint(to, lpBalance);\\n\\n        _updateStateAfterTakeover(\\n            initParams.virtualEth,\\n            initParams.bootstrapEth,\\n            initParams.initialTokenMatch,\\n            wethAmountIn,\\n            tokenAmountIn,\\n            lpBalance,\\n            to,\\n            initParams.initialEth\\n        );\\n    }\\n```\\n\\nAlthough there is a check for the amount of `token` at L481, if the caller sets `initParams.initialEth` to 0, it can easily pass L481 because a smaller `initParams.initialEth` results in a larger `localVars.tokenAmountForAmmNew + localVars.tokenAmountForPresaleNew`. This is due to the fact that the former initial provider's `initialEth` does not have any effect in preventing takeovers.

Impact:
A pool could be unfairly taken over because the former initial provider's `initialEth` does not have any effect in preventing takeovers.

Recommended mitigation:
There should be a check for `initParams.initialEth`.