The biggest problem with blocked pipes is usually gunk stuck in the the filters that are usually part of certain parts iin the plumbing line. Usually there is a strain filter before a pressure valve, non return valve, mixers, and also at the end of many taps. They usually have a screw type of end, which is part of an aerator. There is usually a wire mesh here and with time clogs up with stones and debris, and causes the type of flow no flow problems one encounters. Check these before stripping all the pipes.
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