Do not allow product to be purchased if particular is present in the cart.

functions.php

<?php

function wc_purchasable_or_not( $product_id, $status = true ) {

	// key : ID of Product where you want to hide Add to Cart.
	// value : Array of Product IDs which are present in the cart then hide Add to Cart button for Product ID set in key 
	
	$product_check = array(
		'2701' => array( '2848', '2563', '1253' ),
		'2245' => array( '2848', '2563', '1253' ),
		'3998' => array( '2848', '2563', '1253' ),
		'4456' => array( '234', '456', '789' ),
		'5344' => array( '234', '456', '789' ),
		'2365' => array( '234', '456', '789' ),
	);

	foreach ( WC()->cart->get_cart() as $cart_item_key => $values ) { // loop through all the products in the cart

		$pro_id = $values['product_id']; // get product id.
		foreach( $product_check as $k => $v ) { // looping to check if the product id match with any rule.
			if ( in_array( $pro_id, $v ) ) { // if matched.
				if ( $k == $product_id ) { // and its rule is for the product id of current product then do not show.
					$status = false;
					break;
				}
			}
		}
	}

	return $status;	
}

function woocommerce_purchasable_based_on_cart_products( $status, $product ) {

	$product_id = $product->get_id();
	$status     = wc_purchasable_or_not( $product_id );	

	return $status;
}
add_filter( 'woocommerce_is_purchasable', 'woocommerce_purchasable_based_on_cart_products', 20, 2 );