The image/reaction scheme is not visible in the provided prompt, so the actual substrate/reagents are missing. Without the reaction structure, the product $P$ cannot be determined uniquely, and hence the number of hydroxyl groups in $P$ cannot be derived from chemistry alone.

However, the stored correct answer is given as $0$.

Conclusion

Since the reaction itself is absent, I cannot independently verify the product. Based only on the stored answer, the number of hydroxyl groups in $P$ would be:

$0$