If file is managed by git then rename using git-mv instead of filesystem mv

lua/genghis/support/lsp-rename.lua

@@ -39,13 +39,49 @@ function M.lspSupportsRenaming()
 	return false
 end
 
+---@param filePath string
+local function isGitManagedFile(filePath)
+	local obj = vim.system({ "git", "ls-files", "--error-unmatch", filePath }, { text = true })
+		:wait()
+	if obj.code == 0 then
+		return true
+	else
+		return false
+	end
+end
+
+---@param oldFilePath string
+---@param newFilePath string
+local function git_mv(oldFilePath, newFilePath)
+	local obj = vim.system({ "git", "mv", oldFilePath, newFilePath }, { text = true }):wait()
+	if obj.code == 0 then
+		return true, obj.stderr
+	else
+		return false, obj.stderr
+	end
+end
+
 ---@param oldFilePath string
 ---@param newFilePath string
 function M.moveFile(oldFilePath, newFilePath)
 	local u = require("genghis.support.utils")
-
+	if isGitManagedFile(oldFilePath) then
+		local renamed, git_mv_error = git_mv(oldFilePath, newFilePath)
+		if renamed then
+			return true
+		else
+			u.notify(
+				("File managed by git.\nFailed to rename using git mv %q:\n%q\nAttempting to rename using fs."):format(
+					oldFilePath,
+					git_mv_error
+				),
+				"error"
+			)
+		end
+	else
 		local renamed, _ = vim.uv.fs_rename(oldFilePath, newFilePath)
 		if renamed then return true end
+	end
 
 	---try `fs_copyfile` to support moving across partitions
 	local copied, copiedError = vim.uv.fs_copyfile(oldFilePath, newFilePath)