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If spread, can subvert capitalist institutes as happened multiple times throughout history. In Greece anarchists are clashing with the state for decades

I dont know if Greece isnt a proper example. Despite doing some good work and having greater numbers per capita compared to other countries anarchist clashes and spaces in Greece have neither spread nor subverted any capitalist institutions to any meaningful degree .Their movement and their spaces and projects arent viewed positively by even 0.5% of the Greek population by this point and for decades plus now. Didnt get any boost from the complete colapse of the economy and institutions and at almost any aspect of political organizing and action they are often matched or outpaced in scale or success by combinations of secondary communist and socialist parties , the youth wing of one of the most ossified ML parties on the planet and let alone the party itself . Especialy in Unionism/syndicalism and in anything oustide the 2 Major cities (Athina, Thessaloniki) they are close to nonexistant. They were in the forefront of leftist anti-status quo dissent in the mid to late 90s a but that was mostly a result of the communist movement emerging in the mid-late 70s from 30+ years of state killings, purges,exiles and illegal status comparable to Latam or eastasian nations, having an OK decade and then meeting both the fall of the ussr and a couple of horrible decisions . But anarchists never politicaly capitalized on that beyond solidifying a hold on preexisting enclaves and in niche music and art scenes because of rampant anti-organizationalism beyond street clashes at the time and propaganda of the deed dumbasses everywhere giving a chance for public opinion to rapidly turn against them . I have a lot of friends and even relatives that went through that period both both in the anacrhist and communist left and a lot that still organize in various places

While I certainly agree with the principle of these spaces and am supportive of anarchist projects as I am socialist ones, I simply cannot see an anarchist movement fomenting revolution in the imperial core. The state would exterminate such a movement long before ever even considering accepting it in any way. The level of collective organization needed to oppose the state in this scenario would go far beyond what anarchists have ever executed, and even that may not be enough.

I think anarchist spaces are important and can make an immediate difference for individuals benefiting from them, which is huge and actual praxis, but I simply cannot see it as a tool for revolution unless it was part of some sort of united left front.

I like this. The transition from feudalism to capitalism took centuries in Europe and the two modes of production lived side by side in various proportions and forms that whole time. Creating those spaces you describe to me actually feels like like buds of socialism developing within the capitalist mode of production.