I also believe they could get all the gas they ever wanted by building a pipeline through Turkey to Turkmenistan. With this disaster of a war ongoing the Turkmen government might be willing to risk playing ball with Europe.
Isn't gas from that part of the world unfit for heating/production/food in the EU? I've read that basically Russia buys it all from those countries for their own specific industry/military purposes and then sends their own gas through their pipelines to export them as those countries' own gas.
No, Russia buys it for a song (since they're the only customer) and uses it domestically and possibly sells it along to Europe. I've certainly never heard of the Turkmen gas being unusable for regular purposes. There's a small pipeline to Afghanistan that supplies the border regions (when its running).