Is it permissible for a menstruating woman to prostrate, supplicate without prayer, and praise Allah?

In previous fatwas, we clarified the ruling on prostration of recitation (sujud al-tilawah) and prostration of gratitude (sujud al-shukr) for a menstruating woman, and that purity is not a condition for the general act of worship but rather for prayer. We also clarified the permissibility of a standalone prostration for supplication. As for prostration for the purpose of praising (al-hamd) Allah, we have not found any scholar who spoke about it. Perhaps you mean prostration of gratitude (sujud al-shukr), and we have distinguished between hamd (praise) and shukr (gratitude) by stating that hamd is more general. If you intend prostration merely for the purpose of praising and commending Allah for His own sake, then it is better to engage in His obedience and praise Him with the prescribed (reported) forms, because prostration merely for praise has not been reported.