Two IconButtons inside of InputRightElement in InputGroup

I am working on a search component in Chakra UI. How are you supposed to fit two IconButtons inside of a single InputRightElement in an InputGroup? The second IconButton goes outside of the Input field.

<InputGroup size="lg" shadow={"md"} borderRadius={"80px"}>
    <Input
        ref={searchInputRef}
        type="text"
        borderRadius={"80px"} 
        placeholder="Search" 
        defaultValue={router.query.searchInput}
    />
    <InputRightElement>
        <IconButton
            icon={<GrFormClose />}
            onClick={() => (searchInputRef.current.value = "")}
        >
        </IconButton>
        <IconButton 
            onClick={() => {} } 
            colorScheme="gray"
            aria-label="Search"
            isRound="true"
            icon={<Search2Icon />}
            size={"sm"}
            ></IconButton>
    </InputRightElement>
</InputGroup>

I attached an image of what it looks like:

Thank you!