As to Russia's support of Hamas, I haven't seen any official statements by the Kremlin so far and I have limited access to Russian media but some sources claim that Russians are ridiculing Israel's defensive efforts and are happy to distract US's attention from Ukraine. Iran-backed Hamas seems to get more support from Russia for political reasons.
Russia does not support Hamas, although it does not classify it as a terrorist organization and considers the leaders of its political wing to be legitimate partners for negotiations (at the same time, the Muslim Brotherhood, from which Hamas spun off in 1987, is considered a terrorist organization in Russia). It can be assumed that Russia's sympathies are on the side of the Palestinian people, but there is no need to draw far-reaching political conclusions from this.
Russia is a multinational secular state and any radical religious manifestations are unacceptable for it.
Hamas visited the Kremlin several times to discuss the current operation. Russia was involved, and so was Iran.
Ismail Haniyeh met with Lavrov in Sept. 2022 to discuss a high-level plan for this current distraction.
Saleh Al-Arouri met with Lavrov and the RF military in March 2023 to finalize the details.
Google it first before you open your mouth.
How is that May 9th, 2022 victory parade in Kyiv coming along? Still dreaming about it?