citizen: add deployment script

script/Deploy_GreeterFactory.s.sol

@@ -0,0 +1,21 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.24;
+
+import "forge-std/Script.sol";
+import "../contracts/_GreeterFactory.sol";
+
+/// @title Deploy _GreeterFactory
+/// @notice Deployment script for _GreeterFactory
+contract Deploy_GreeterFactory is Script {
+    function run() public {
+        uint256 deployerPrivateKey = vm.envUint("PRIVATE_KEY");
+        vm.startBroadcast(deployerPrivateKey);
+
+        _GreeterFactory instance = new _GreeterFactory("Implement: Deploys and manages instances of the ");
+
+        vm.stopBroadcast();
+
+        // Log deployed address for verification
+        console.log("_GreeterFactory deployed at:", address(instance));
+    }
+}