You are tasked with creating a function named accumulate$\_$until$\_$limit$.$ The objective is to continuously add $5$ to current$\_$value using a while loop, stopping only when current$\_$value reaches or exceeds the specified limit$.$ Once the loop completes, the function should return the updated value of current$\_$value.

$\backslash$table$[[$Name$,$Type,Description$],[$accumulate$\_$until$\_$limit$,\backslash$table$[[$python$],[$function$]],\backslash$table$[[$This function takes in two integer parameters: current$\_$value and$],[$limit and continuously adds $5$ to current$\_$value, stopping when$],[$current$\_$value reaches or exceeds the specified limit$.],[$The function should return the updated value of current$\_$value$],[$after the loop completes.$]]]]$