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?
Currently, Chuck Schumer, leader of the Democratic majority in the US Senate, is on an official visit to China; yesterday he met with Xi. Came to arrange for Xi to visit San Francisco in November. Relatively recently, Blinken also was in China. By your logic, does this mean that China supports the US and that the US supports China?
Russia does not support either side of the Palestinian-Israeli conflict, but has diplomatic contacts with representatives of both sides. This is normal. When Zelensky wants to end the conflict with Russia, taking into account the real state of affairs,
Russia will be ready to listen to him carefully. Or does Ukraine still hope to win?

Sure, except for the fact that Wagner PMC trained Hamas fighters in Africa on how to use drones to drop small bombs on the enemy.
Hamas and Hezbollah will be destroyed in a matter of weeks.
Israel just destroyed Hezbollah camps in Egypt and Lebanon. The US deployed special forces today to clean up the remaining Hezbollah fighters on Israel's northern border.
BTW, nobody will be doing any negotiations with Hamas, Hezbollah, Iran or Russia. The time for talking is over.