Welfare support has long time ago reached the level where it's difficult if not impossible for a normal, working, and still mentally capable person to understand everything and their caveats — not to mention someone who has first had hard luck, is then subsequently out of energy, and is finally subjected to the experience of being a cog in the very machine that is the bureaucracy.
From programmer's point of view the obvious solution is encapsulation.
Let's keep the private parts to the implementation and only offer a reasonable public interface. That means a dedicated social worker who knows both the rules and knows you.
An outsider can't be expected to chug along with the ever-mutating directives, laws, guidances, and rules that are part of the bureaucracy's own operation and related legislation. Let the bureau have people who take human descriptions of one's life and work out the best plan out of available benefits. The insiders have the knowledge of what works together and how to make the system work.
This would also be more efficient: failed applications, missing actions, mismatched assumptions, eviction orders, court cases, etc do all cost the bureau some time and money already in the current system. If there was an inside person who could rule out the impossible branches right away and check eligibility on the applicant's first or second visit, everyone would save time.